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Finding the Fourth Proportional to 6,318.74, 8,721.60 and 3,667

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Solution

The fourth proportional to 6,318.74, 8,721.60 and 3,667 is: 5,061.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.74 : 8,721.60 = 3,667 : x
  2. Step 2: Convert to fraction form
    6,318.74/8,721.60 = 3,667/x
  3. Step 3: Cross multiply
    6,318.74x = 8,721.60 × 3,667
  4. Step 4: Simplify right side
    6,318.74x = 31,982,088.87
  5. Step 5: Solve for x
    x = 31,982,088.87/6,318.74
  6. Step 6: Final answer
    x = 5,061.47

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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.