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Finding the Fourth Proportional to 3,607.25, 5,410.88 and 871.25

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Solution

The fourth proportional to 3,607.25, 5,410.88 and 871.25 is: 1,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.25 : 5,410.88 = 871.25 : x
  2. Step 2: Convert to fraction form
    3,607.25/5,410.88 = 871.25/x
  3. Step 3: Cross multiply
    3,607.25x = 5,410.88 × 871.25
  4. Step 4: Simplify right side
    3,607.25x = 4,714,229.20
  5. Step 5: Solve for x
    x = 4,714,229.20/3,607.25
  6. Step 6: Final answer
    x = 1,306.88

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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.