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Finding the Fourth Proportional to 3,744.88, 5,168.72 and 2,486

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Solution

The fourth proportional to 3,744.88, 5,168.72 and 2,486 is: 3,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.88 : 5,168.72 = 2,486 : x
  2. Step 2: Convert to fraction form
    3,744.88/5,168.72 = 2,486/x
  3. Step 3: Cross multiply
    3,744.88x = 5,168.72 × 2,486
  4. Step 4: Simplify right side
    3,744.88x = 12,849,437.92
  5. Step 5: Solve for x
    x = 12,849,437.92/3,744.88
  6. Step 6: Final answer
    x = 3,431.20

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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.