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Finding the Fourth Proportional to 4,140.52, 5,713.68 and 2,277.52

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Solution

The fourth proportional to 4,140.52, 5,713.68 and 2,277.52 is: 3,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.52 : 5,713.68 = 2,277.52 : x
  2. Step 2: Convert to fraction form
    4,140.52/5,713.68 = 2,277.52/x
  3. Step 3: Cross multiply
    4,140.52x = 5,713.68 × 2,277.52
  4. Step 4: Simplify right side
    4,140.52x = 13,013,020.47
  5. Step 5: Solve for x
    x = 13,013,020.47/4,140.52
  6. Step 6: Final answer
    x = 3,142.85

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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.