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Finding the Fourth Proportional to 4,155.52, 5,734.56 and 2,292.52

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Solution

The fourth proportional to 4,155.52, 5,734.56 and 2,292.52 is: 3,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.52 : 5,734.56 = 2,292.52 : x
  2. Step 2: Convert to fraction form
    4,155.52/5,734.56 = 2,292.52/x
  3. Step 3: Cross multiply
    4,155.52x = 5,734.56 × 2,292.52
  4. Step 4: Simplify right side
    4,155.52x = 13,146,593.49
  5. Step 5: Solve for x
    x = 13,146,593.49/4,155.52
  6. Step 6: Final answer
    x = 3,163.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.