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Finding the Fourth Proportional to 5,948.56, 8,922.84 and 1,565.92

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Solution

The fourth proportional to 5,948.56, 8,922.84 and 1,565.92 is: 2,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.56 : 8,922.84 = 1,565.92 : x
  2. Step 2: Convert to fraction form
    5,948.56/8,922.84 = 1,565.92/x
  3. Step 3: Cross multiply
    5,948.56x = 8,922.84 × 1,565.92
  4. Step 4: Simplify right side
    5,948.56x = 13,972,453.61
  5. Step 5: Solve for x
    x = 13,972,453.61/5,948.56
  6. Step 6: Final answer
    x = 2,348.88

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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.