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Finding the Fourth Proportional to 3,512.96, 5,265.38 and 1,320.29

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Solution

The fourth proportional to 3,512.96, 5,265.38 and 1,320.29 is: 1,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.96 : 5,265.38 = 1,320.29 : x
  2. Step 2: Convert to fraction form
    3,512.96/5,265.38 = 1,320.29/x
  3. Step 3: Cross multiply
    3,512.96x = 5,265.38 × 1,320.29
  4. Step 4: Simplify right side
    3,512.96x = 6,951,805.53
  5. Step 5: Solve for x
    x = 6,951,805.53/3,512.96
  6. Step 6: Final answer
    x = 1,978.91

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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.