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Finding the Fourth Proportional to 3,443.43, 5,165.51 and 1,102.87

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Solution

The fourth proportional to 3,443.43, 5,165.51 and 1,102.87 is: 1,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.43 : 5,165.51 = 1,102.87 : x
  2. Step 2: Convert to fraction form
    3,443.43/5,165.51 = 1,102.87/x
  3. Step 3: Cross multiply
    3,443.43x = 5,165.51 × 1,102.87
  4. Step 4: Simplify right side
    3,443.43x = 5,696,886.01
  5. Step 5: Solve for x
    x = 5,696,886.01/3,443.43
  6. Step 6: Final answer
    x = 1,654.42

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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.