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Finding the Fourth Proportional to 5,371.05, 7,414.70 and 3,384.66

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Solution

The fourth proportional to 5,371.05, 7,414.70 and 3,384.66 is: 4,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,371.05 : 7,414.70 = 3,384.66 : x
  2. Step 2: Convert to fraction form
    5,371.05/7,414.70 = 3,384.66/x
  3. Step 3: Cross multiply
    5,371.05x = 7,414.70 × 3,384.66
  4. Step 4: Simplify right side
    5,371.05x = 25,096,221.58
  5. Step 5: Solve for x
    x = 25,096,221.58/5,371.05
  6. Step 6: Final answer
    x = 4,672.50

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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.