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Finding the Fourth Proportional to 5,689.25, 7,848.99 and 4,200.74

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Solution

The fourth proportional to 5,689.25, 7,848.99 and 4,200.74 is: 5,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.25 : 7,848.99 = 4,200.74 : x
  2. Step 2: Convert to fraction form
    5,689.25/7,848.99 = 4,200.74/x
  3. Step 3: Cross multiply
    5,689.25x = 7,848.99 × 4,200.74
  4. Step 4: Simplify right side
    5,689.25x = 32,971,527.01
  5. Step 5: Solve for x
    x = 32,971,527.01/5,689.25
  6. Step 6: Final answer
    x = 5,795.41

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.