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Finding the Fourth Proportional to 3,267.52, 4,902.08 and 959.04

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Solution

The fourth proportional to 3,267.52, 4,902.08 and 959.04 is: 1,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.52 : 4,902.08 = 959.04 : x
  2. Step 2: Convert to fraction form
    3,267.52/4,902.08 = 959.04/x
  3. Step 3: Cross multiply
    3,267.52x = 4,902.08 × 959.04
  4. Step 4: Simplify right side
    3,267.52x = 4,701,290.80
  5. Step 5: Solve for x
    x = 4,701,290.80/3,267.52
  6. Step 6: Final answer
    x = 1,438.79

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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.