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Finding the Fourth Proportional to 5,754.55, 7,939.20 and 3,766.24

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Solution

The fourth proportional to 5,754.55, 7,939.20 and 3,766.24 is: 5,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.55 : 7,939.20 = 3,766.24 : x
  2. Step 2: Convert to fraction form
    5,754.55/7,939.20 = 3,766.24/x
  3. Step 3: Cross multiply
    5,754.55x = 7,939.20 × 3,766.24
  4. Step 4: Simplify right side
    5,754.55x = 29,900,932.61
  5. Step 5: Solve for x
    x = 29,900,932.61/5,754.55
  6. Step 6: Final answer
    x = 5,196.05

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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.