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Finding the Fourth Proportional to 5,305.52, 7,949.16 and 2,841.50

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Solution

The fourth proportional to 5,305.52, 7,949.16 and 2,841.50 is: 4,257.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.52 : 7,949.16 = 2,841.50 : x
  2. Step 2: Convert to fraction form
    5,305.52/7,949.16 = 2,841.50/x
  3. Step 3: Cross multiply
    5,305.52x = 7,949.16 × 2,841.50
  4. Step 4: Simplify right side
    5,305.52x = 22,587,538.14
  5. Step 5: Solve for x
    x = 22,587,538.14/5,305.52
  6. Step 6: Final answer
    x = 4,257.37

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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.