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Finding the Fourth Proportional to 3,877.76, 5,350.52 and 2,306.24

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Solution

The fourth proportional to 3,877.76, 5,350.52 and 2,306.24 is: 3,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.76 : 5,350.52 = 2,306.24 : x
  2. Step 2: Convert to fraction form
    3,877.76/5,350.52 = 2,306.24/x
  3. Step 3: Cross multiply
    3,877.76x = 5,350.52 × 2,306.24
  4. Step 4: Simplify right side
    3,877.76x = 12,339,583.24
  5. Step 5: Solve for x
    x = 12,339,583.24/3,877.76
  6. Step 6: Final answer
    x = 3,182.14

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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.