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Finding the Fourth Proportional to 3,472.13, 5,208.71 and 1,006.97

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Solution

The fourth proportional to 3,472.13, 5,208.71 and 1,006.97 is: 1,510.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.13 : 5,208.71 = 1,006.97 : x
  2. Step 2: Convert to fraction form
    3,472.13/5,208.71 = 1,006.97/x
  3. Step 3: Cross multiply
    3,472.13x = 5,208.71 × 1,006.97
  4. Step 4: Simplify right side
    3,472.13x = 5,244,983.63
  5. Step 5: Solve for x
    x = 5,244,983.63/3,472.13
  6. Step 6: Final answer
    x = 1,510.59

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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.