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Finding the Fourth Proportional to 3,725.76, 5,589.12 and 1,128.24

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Solution

The fourth proportional to 3,725.76, 5,589.12 and 1,128.24 is: 1,692.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.76 : 5,589.12 = 1,128.24 : x
  2. Step 2: Convert to fraction form
    3,725.76/5,589.12 = 1,128.24/x
  3. Step 3: Cross multiply
    3,725.76x = 5,589.12 × 1,128.24
  4. Step 4: Simplify right side
    3,725.76x = 6,305,868.75
  5. Step 5: Solve for x
    x = 6,305,868.75/3,725.76
  6. Step 6: Final answer
    x = 1,692.51

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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.