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Finding the Fourth Proportional to 5,178.34, 7,150.17 and 4,180.42

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Solution

The fourth proportional to 5,178.34, 7,150.17 and 4,180.42 is: 5,772.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.34 : 7,150.17 = 4,180.42 : x
  2. Step 2: Convert to fraction form
    5,178.34/7,150.17 = 4,180.42/x
  3. Step 3: Cross multiply
    5,178.34x = 7,150.17 × 4,180.42
  4. Step 4: Simplify right side
    5,178.34x = 29,890,713.67
  5. Step 5: Solve for x
    x = 29,890,713.67/5,178.34
  6. Step 6: Final answer
    x = 5,772.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.