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Finding the Fourth Proportional to 3,684.68, 5,077.86 and 2,634.92

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Solution

The fourth proportional to 3,684.68, 5,077.86 and 2,634.92 is: 3,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.68 : 5,077.86 = 2,634.92 : x
  2. Step 2: Convert to fraction form
    3,684.68/5,077.86 = 2,634.92/x
  3. Step 3: Cross multiply
    3,684.68x = 5,077.86 × 2,634.92
  4. Step 4: Simplify right side
    3,684.68x = 13,379,754.87
  5. Step 5: Solve for x
    x = 13,379,754.87/3,684.68
  6. Step 6: Final answer
    x = 3,631.19

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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.