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Finding the Fourth Proportional to 5,371.76, 7,414.08 and 3,013.76

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Solution

The fourth proportional to 5,371.76, 7,414.08 and 3,013.76 is: 4,159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.76 : 7,414.08 = 3,013.76 : x
  2. Step 2: Convert to fraction form
    5,371.76/7,414.08 = 3,013.76/x
  3. Step 3: Cross multiply
    5,371.76x = 7,414.08 × 3,013.76
  4. Step 4: Simplify right side
    5,371.76x = 22,344,257.74
  5. Step 5: Solve for x
    x = 22,344,257.74/5,371.76
  6. Step 6: Final answer
    x = 4,159.58

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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.