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Finding the Fourth Proportional to 4,767.72, 7,151.48 and 1,304.97

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Solution

The fourth proportional to 4,767.72, 7,151.48 and 1,304.97 is: 1,957.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.72 : 7,151.48 = 1,304.97 : x
  2. Step 2: Convert to fraction form
    4,767.72/7,151.48 = 1,304.97/x
  3. Step 3: Cross multiply
    4,767.72x = 7,151.48 × 1,304.97
  4. Step 4: Simplify right side
    4,767.72x = 9,332,466.86
  5. Step 5: Solve for x
    x = 9,332,466.86/4,767.72
  6. Step 6: Final answer
    x = 1,957.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.