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Finding the Fourth Proportional to 5,805.70, 8,707.46 and 1,644.71

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Solution

The fourth proportional to 5,805.70, 8,707.46 and 1,644.71 is: 2,466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.70 : 8,707.46 = 1,644.71 : x
  2. Step 2: Convert to fraction form
    5,805.70/8,707.46 = 1,644.71/x
  3. Step 3: Cross multiply
    5,805.70x = 8,707.46 × 1,644.71
  4. Step 4: Simplify right side
    5,805.70x = 14,321,194.78
  5. Step 5: Solve for x
    x = 14,321,194.78/5,805.70
  6. Step 6: Final answer
    x = 2,466.75

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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.