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Finding the Fourth Proportional to 3,677.68, 5,073.86 and 2,351.98

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Solution

The fourth proportional to 3,677.68, 5,073.86 and 2,351.98 is: 3,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.68 : 5,073.86 = 2,351.98 : x
  2. Step 2: Convert to fraction form
    3,677.68/5,073.86 = 2,351.98/x
  3. Step 3: Cross multiply
    3,677.68x = 5,073.86 × 2,351.98
  4. Step 4: Simplify right side
    3,677.68x = 11,933,617.24
  5. Step 5: Solve for x
    x = 11,933,617.24/3,677.68
  6. Step 6: Final answer
    x = 3,244.88

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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.