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Finding the Fourth Proportional to 3,522.97, 5,282.57 and 3,371.50

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Solution

The fourth proportional to 3,522.97, 5,282.57 and 3,371.50 is: 5,055.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.97 : 5,282.57 = 3,371.50 : x
  2. Step 2: Convert to fraction form
    3,522.97/5,282.57 = 3,371.50/x
  3. Step 3: Cross multiply
    3,522.97x = 5,282.57 × 3,371.50
  4. Step 4: Simplify right side
    3,522.97x = 17,810,167.90
  5. Step 5: Solve for x
    x = 17,810,167.90/3,522.97
  6. Step 6: Final answer
    x = 5,055.44

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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.