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Finding the Fourth Proportional to 3,665.85, 5,057.49 and 2,249.10

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Solution

The fourth proportional to 3,665.85, 5,057.49 and 2,249.10 is: 3,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.85 : 5,057.49 = 2,249.10 : x
  2. Step 2: Convert to fraction form
    3,665.85/5,057.49 = 2,249.10/x
  3. Step 3: Cross multiply
    3,665.85x = 5,057.49 × 2,249.10
  4. Step 4: Simplify right side
    3,665.85x = 11,374,800.76
  5. Step 5: Solve for x
    x = 11,374,800.76/3,665.85
  6. Step 6: Final answer
    x = 3,102.91

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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.