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Finding the Fourth Proportional to 5,414, 7,472.72 and 3,530.28

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Solution

The fourth proportional to 5,414, 7,472.72 and 3,530.28 is: 4,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414 : 7,472.72 = 3,530.28 : x
  2. Step 2: Convert to fraction form
    5,414/7,472.72 = 3,530.28/x
  3. Step 3: Cross multiply
    5,414x = 7,472.72 × 3,530.28
  4. Step 4: Simplify right side
    5,414x = 26,380,793.96
  5. Step 5: Solve for x
    x = 26,380,793.96/5,414
  6. Step 6: Final answer
    x = 4,872.70

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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.