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Finding the Fourth Proportional to 3,472.38, 5,208.57 and 1,007.20

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Solution

The fourth proportional to 3,472.38, 5,208.57 and 1,007.20 is: 1,510.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.38 : 5,208.57 = 1,007.20 : x
  2. Step 2: Convert to fraction form
    3,472.38/5,208.57 = 1,007.20/x
  3. Step 3: Cross multiply
    3,472.38x = 5,208.57 × 1,007.20
  4. Step 4: Simplify right side
    3,472.38x = 5,246,071.70
  5. Step 5: Solve for x
    x = 5,246,071.70/3,472.38
  6. Step 6: Final answer
    x = 1,510.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.