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Finding the Fourth Proportional to 4,134.75, 6,202.13 and 3,927.12

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Solution

The fourth proportional to 4,134.75, 6,202.13 and 3,927.12 is: 5,890.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.75 : 6,202.13 = 3,927.12 : x
  2. Step 2: Convert to fraction form
    4,134.75/6,202.13 = 3,927.12/x
  3. Step 3: Cross multiply
    4,134.75x = 6,202.13 × 3,927.12
  4. Step 4: Simplify right side
    4,134.75x = 24,356,489.13
  5. Step 5: Solve for x
    x = 24,356,489.13/4,134.75
  6. Step 6: Final answer
    x = 5,890.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.