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Finding the Fourth Proportional to 3,682.87, 5,077.41 and 2,501.89

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Solution

The fourth proportional to 3,682.87, 5,077.41 and 2,501.89 is: 3,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.87 : 5,077.41 = 2,501.89 : x
  2. Step 2: Convert to fraction form
    3,682.87/5,077.41 = 2,501.89/x
  3. Step 3: Cross multiply
    3,682.87x = 5,077.41 × 2,501.89
  4. Step 4: Simplify right side
    3,682.87x = 12,703,121.30
  5. Step 5: Solve for x
    x = 12,703,121.30/3,682.87
  6. Step 6: Final answer
    x = 3,449.25

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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.