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Finding the Fourth Proportional to 4,494.17, 6,737.81 and 3,711.71

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Solution

The fourth proportional to 4,494.17, 6,737.81 and 3,711.71 is: 5,564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.17 : 6,737.81 = 3,711.71 : x
  2. Step 2: Convert to fraction form
    4,494.17/6,737.81 = 3,711.71/x
  3. Step 3: Cross multiply
    4,494.17x = 6,737.81 × 3,711.71
  4. Step 4: Simplify right side
    4,494.17x = 25,008,744.51
  5. Step 5: Solve for x
    x = 25,008,744.51/4,494.17
  6. Step 6: Final answer
    x = 5,564.71

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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.