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Finding the Fourth Proportional to 4,489.38, 6,728.16 and 1,989.71

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Solution

The fourth proportional to 4,489.38, 6,728.16 and 1,989.71 is: 2,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.38 : 6,728.16 = 1,989.71 : x
  2. Step 2: Convert to fraction form
    4,489.38/6,728.16 = 1,989.71/x
  3. Step 3: Cross multiply
    4,489.38x = 6,728.16 × 1,989.71
  4. Step 4: Simplify right side
    4,489.38x = 13,387,053.59
  5. Step 5: Solve for x
    x = 13,387,053.59/4,489.38
  6. Step 6: Final answer
    x = 2,981.94

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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.