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Finding the Fourth Proportional to 3,772.32, 5,652.33 and 1,920.90

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Solution

The fourth proportional to 3,772.32, 5,652.33 and 1,920.90 is: 2,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.32 : 5,652.33 = 1,920.90 : x
  2. Step 2: Convert to fraction form
    3,772.32/5,652.33 = 1,920.90/x
  3. Step 3: Cross multiply
    3,772.32x = 5,652.33 × 1,920.90
  4. Step 4: Simplify right side
    3,772.32x = 10,857,560.70
  5. Step 5: Solve for x
    x = 10,857,560.70/3,772.32
  6. Step 6: Final answer
    x = 2,878.22

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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.