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Finding the Fourth Proportional to 4,709.43, 6,493.10 and 3,452.31

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Solution

The fourth proportional to 4,709.43, 6,493.10 and 3,452.31 is: 4,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.43 : 6,493.10 = 3,452.31 : x
  2. Step 2: Convert to fraction form
    4,709.43/6,493.10 = 3,452.31/x
  3. Step 3: Cross multiply
    4,709.43x = 6,493.10 × 3,452.31
  4. Step 4: Simplify right side
    4,709.43x = 22,416,176.80
  5. Step 5: Solve for x
    x = 22,416,176.80/4,709.43
  6. Step 6: Final answer
    x = 4,759.85

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