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Finding the Fourth Proportional to 3,064.28, 4,227.72 and 1,737.88

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Solution

The fourth proportional to 3,064.28, 4,227.72 and 1,737.88 is: 2,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.28 : 4,227.72 = 1,737.88 : x
  2. Step 2: Convert to fraction form
    3,064.28/4,227.72 = 1,737.88/x
  3. Step 3: Cross multiply
    3,064.28x = 4,227.72 × 1,737.88
  4. Step 4: Simplify right side
    3,064.28x = 7,347,270.03
  5. Step 5: Solve for x
    x = 7,347,270.03/3,064.28
  6. Step 6: Final answer
    x = 2,397.71

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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.