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Finding the Fourth Proportional to 3,542.17, 5,305.03 and 3,419.17

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Solution

The fourth proportional to 3,542.17, 5,305.03 and 3,419.17 is: 5,120.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.17 : 5,305.03 = 3,419.17 : x
  2. Step 2: Convert to fraction form
    3,542.17/5,305.03 = 3,419.17/x
  3. Step 3: Cross multiply
    3,542.17x = 5,305.03 × 3,419.17
  4. Step 4: Simplify right side
    3,542.17x = 18,138,799.43
  5. Step 5: Solve for x
    x = 18,138,799.43/3,542.17
  6. Step 6: Final answer
    x = 5,120.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.