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Finding the Fourth Proportional to 4,737.85, 6,538.84 and 3,939.80

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Solution

The fourth proportional to 4,737.85, 6,538.84 and 3,939.80 is: 5,437.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.85 : 6,538.84 = 3,939.80 : x
  2. Step 2: Convert to fraction form
    4,737.85/6,538.84 = 3,939.80/x
  3. Step 3: Cross multiply
    4,737.85x = 6,538.84 × 3,939.80
  4. Step 4: Simplify right side
    4,737.85x = 25,761,721.83
  5. Step 5: Solve for x
    x = 25,761,721.83/4,737.85
  6. Step 6: Final answer
    x = 5,437.43

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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.