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Finding the Fourth Proportional to 4,753.68, 7,121.28 and 2,899.44

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Solution

The fourth proportional to 4,753.68, 7,121.28 and 2,899.44 is: 4,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.68 : 7,121.28 = 2,899.44 : x
  2. Step 2: Convert to fraction form
    4,753.68/7,121.28 = 2,899.44/x
  3. Step 3: Cross multiply
    4,753.68x = 7,121.28 × 2,899.44
  4. Step 4: Simplify right side
    4,753.68x = 20,647,724.08
  5. Step 5: Solve for x
    x = 20,647,724.08/4,753.68
  6. Step 6: Final answer
    x = 4,343.52

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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.