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Finding the Fourth Proportional to 3,989.71, 5,500.65 and 3,269.21

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Solution

The fourth proportional to 3,989.71, 5,500.65 and 3,269.21 is: 4,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.71 : 5,500.65 = 3,269.21 : x
  2. Step 2: Convert to fraction form
    3,989.71/5,500.65 = 3,269.21/x
  3. Step 3: Cross multiply
    3,989.71x = 5,500.65 × 3,269.21
  4. Step 4: Simplify right side
    3,989.71x = 17,982,802.93
  5. Step 5: Solve for x
    x = 17,982,802.93/3,989.71
  6. Step 6: Final answer
    x = 4,507.30

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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.