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Finding the Fourth Proportional to 4,114.59, 6,169.87 and 2,033.92

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Solution

The fourth proportional to 4,114.59, 6,169.87 and 2,033.92 is: 3,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.59 : 6,169.87 = 2,033.92 : x
  2. Step 2: Convert to fraction form
    4,114.59/6,169.87 = 2,033.92/x
  3. Step 3: Cross multiply
    4,114.59x = 6,169.87 × 2,033.92
  4. Step 4: Simplify right side
    4,114.59x = 12,549,021.99
  5. Step 5: Solve for x
    x = 12,549,021.99/4,114.59
  6. Step 6: Final answer
    x = 3,049.88

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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.