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Finding the Fourth Proportional to 4,184.34, 5,772.03 and 3,761.52

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Solution

The fourth proportional to 4,184.34, 5,772.03 and 3,761.52 is: 5,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184.34 : 5,772.03 = 3,761.52 : x
  2. Step 2: Convert to fraction form
    4,184.34/5,772.03 = 3,761.52/x
  3. Step 3: Cross multiply
    4,184.34x = 5,772.03 × 3,761.52
  4. Step 4: Simplify right side
    4,184.34x = 21,711,606.29
  5. Step 5: Solve for x
    x = 21,711,606.29/4,184.34
  6. Step 6: Final answer
    x = 5,188.78

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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.