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Finding the Fourth Proportional to 3,734.52, 5,154.78 and 2,163.24

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Solution

The fourth proportional to 3,734.52, 5,154.78 and 2,163.24 is: 2,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.52 : 5,154.78 = 2,163.24 : x
  2. Step 2: Convert to fraction form
    3,734.52/5,154.78 = 2,163.24/x
  3. Step 3: Cross multiply
    3,734.52x = 5,154.78 × 2,163.24
  4. Step 4: Simplify right side
    3,734.52x = 11,151,026.29
  5. Step 5: Solve for x
    x = 11,151,026.29/3,734.52
  6. Step 6: Final answer
    x = 2,985.93

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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.