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Finding the Fourth Proportional to 3,756.68, 5,185.88 and 2,244.78

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Solution

The fourth proportional to 3,756.68, 5,185.88 and 2,244.78 is: 3,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.68 : 5,185.88 = 2,244.78 : x
  2. Step 2: Convert to fraction form
    3,756.68/5,185.88 = 2,244.78/x
  3. Step 3: Cross multiply
    3,756.68x = 5,185.88 × 2,244.78
  4. Step 4: Simplify right side
    3,756.68x = 11,641,141.34
  5. Step 5: Solve for x
    x = 11,641,141.34/3,756.68
  6. Step 6: Final answer
    x = 3,098.79

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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.