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Finding the Fourth Proportional to 5,872.52, 8,808 and 1,976.96

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Solution

The fourth proportional to 5,872.52, 8,808 and 1,976.96 is: 2,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.52 : 8,808 = 1,976.96 : x
  2. Step 2: Convert to fraction form
    5,872.52/8,808 = 1,976.96/x
  3. Step 3: Cross multiply
    5,872.52x = 8,808 × 1,976.96
  4. Step 4: Simplify right side
    5,872.52x = 17,413,063.68
  5. Step 5: Solve for x
    x = 17,413,063.68/5,872.52
  6. Step 6: Final answer
    x = 2,965.18

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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.