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Finding the Fourth Proportional to 5,445.97, 7,516.98 and 3,209.14

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Solution

The fourth proportional to 5,445.97, 7,516.98 and 3,209.14 is: 4,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445.97 : 7,516.98 = 3,209.14 : x
  2. Step 2: Convert to fraction form
    5,445.97/7,516.98 = 3,209.14/x
  3. Step 3: Cross multiply
    5,445.97x = 7,516.98 × 3,209.14
  4. Step 4: Simplify right side
    5,445.97x = 24,123,041.20
  5. Step 5: Solve for x
    x = 24,123,041.20/5,445.97
  6. Step 6: Final answer
    x = 4,429.52

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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.