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Finding the Fourth Proportional to 5,281.68, 7,934.04 and 3,231.12

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Solution

The fourth proportional to 5,281.68, 7,934.04 and 3,231.12 is: 4,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.68 : 7,934.04 = 3,231.12 : x
  2. Step 2: Convert to fraction form
    5,281.68/7,934.04 = 3,231.12/x
  3. Step 3: Cross multiply
    5,281.68x = 7,934.04 × 3,231.12
  4. Step 4: Simplify right side
    5,281.68x = 25,635,835.32
  5. Step 5: Solve for x
    x = 25,635,835.32/5,281.68
  6. Step 6: Final answer
    x = 4,853.73

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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.