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Finding the Fourth Proportional to 5,954.66, 8,932.20 and 2,257.16

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Solution

The fourth proportional to 5,954.66, 8,932.20 and 2,257.16 is: 3,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.66 : 8,932.20 = 2,257.16 : x
  2. Step 2: Convert to fraction form
    5,954.66/8,932.20 = 2,257.16/x
  3. Step 3: Cross multiply
    5,954.66x = 8,932.20 × 2,257.16
  4. Step 4: Simplify right side
    5,954.66x = 20,161,404.55
  5. Step 5: Solve for x
    x = 20,161,404.55/5,954.66
  6. Step 6: Final answer
    x = 3,385.82

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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.