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Finding the Fourth Proportional to 4,294.53, 6,471.05 and 3,531.62

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Solution

The fourth proportional to 4,294.53, 6,471.05 and 3,531.62 is: 5,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.53 : 6,471.05 = 3,531.62 : x
  2. Step 2: Convert to fraction form
    4,294.53/6,471.05 = 3,531.62/x
  3. Step 3: Cross multiply
    4,294.53x = 6,471.05 × 3,531.62
  4. Step 4: Simplify right side
    4,294.53x = 22,853,279.03
  5. Step 5: Solve for x
    x = 22,853,279.03/4,294.53
  6. Step 6: Final answer
    x = 5,321.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.