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Finding the Fourth Proportional to 4,159.12, 6,243.12 and 2,311.78

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Solution

The fourth proportional to 4,159.12, 6,243.12 and 2,311.78 is: 3,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,159.12 : 6,243.12 = 2,311.78 : x
  2. Step 2: Convert to fraction form
    4,159.12/6,243.12 = 2,311.78/x
  3. Step 3: Cross multiply
    4,159.12x = 6,243.12 × 2,311.78
  4. Step 4: Simplify right side
    4,159.12x = 14,432,704.35
  5. Step 5: Solve for x
    x = 14,432,704.35/4,159.12
  6. Step 6: Final answer
    x = 3,470.14

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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.