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Finding the Fourth Proportional to 5,689.25, 8,533.88 and 1,585.25

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Solution

The fourth proportional to 5,689.25, 8,533.88 and 1,585.25 is: 2,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.25 : 8,533.88 = 1,585.25 : x
  2. Step 2: Convert to fraction form
    5,689.25/8,533.88 = 1,585.25/x
  3. Step 3: Cross multiply
    5,689.25x = 8,533.88 × 1,585.25
  4. Step 4: Simplify right side
    5,689.25x = 13,528,333.27
  5. Step 5: Solve for x
    x = 13,528,333.27/5,689.25
  6. Step 6: Final answer
    x = 2,377.88

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Half scale
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Double scale
Find fourth proportional to 5,690.25, 8,535.38 and 1,586.25
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.