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Finding the Fourth Proportional to 5,179.68, 7,764.02 and 3,532.14

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Solution

The fourth proportional to 5,179.68, 7,764.02 and 3,532.14 is: 5,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.68 : 7,764.02 = 3,532.14 : x
  2. Step 2: Convert to fraction form
    5,179.68/7,764.02 = 3,532.14/x
  3. Step 3: Cross multiply
    5,179.68x = 7,764.02 × 3,532.14
  4. Step 4: Simplify right side
    5,179.68x = 27,423,587.94
  5. Step 5: Solve for x
    x = 27,423,587.94/5,179.68
  6. Step 6: Final answer
    x = 5,294.46

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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.