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Finding the Fourth Proportional to 3,472.71, 5,211.14 and 1,393.17

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Solution

The fourth proportional to 3,472.71, 5,211.14 and 1,393.17 is: 2,090.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.71 : 5,211.14 = 1,393.17 : x
  2. Step 2: Convert to fraction form
    3,472.71/5,211.14 = 1,393.17/x
  3. Step 3: Cross multiply
    3,472.71x = 5,211.14 × 1,393.17
  4. Step 4: Simplify right side
    3,472.71x = 7,260,003.91
  5. Step 5: Solve for x
    x = 7,260,003.91/3,472.71
  6. Step 6: Final answer
    x = 2,090.59

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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.