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Finding the Fourth Proportional to 3,753.76, 5,634.24 and 2,868

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Solution

The fourth proportional to 3,753.76, 5,634.24 and 2,868 is: 4,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.76 : 5,634.24 = 2,868 : x
  2. Step 2: Convert to fraction form
    3,753.76/5,634.24 = 2,868/x
  3. Step 3: Cross multiply
    3,753.76x = 5,634.24 × 2,868
  4. Step 4: Simplify right side
    3,753.76x = 16,159,000.32
  5. Step 5: Solve for x
    x = 16,159,000.32/3,753.76
  6. Step 6: Final answer
    x = 4,304.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.