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Finding the Fourth Proportional to 3,544.52, 4,892.28 and 2,147

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Solution

The fourth proportional to 3,544.52, 4,892.28 and 2,147 is: 2,963.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.52 : 4,892.28 = 2,147 : x
  2. Step 2: Convert to fraction form
    3,544.52/4,892.28 = 2,147/x
  3. Step 3: Cross multiply
    3,544.52x = 4,892.28 × 2,147
  4. Step 4: Simplify right side
    3,544.52x = 10,503,725.16
  5. Step 5: Solve for x
    x = 10,503,725.16/3,544.52
  6. Step 6: Final answer
    x = 2,963.37

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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.