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Finding the Fourth Proportional to 3,664.70, 5,057.27 and 1,986.14

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Solution

The fourth proportional to 3,664.70, 5,057.27 and 1,986.14 is: 2,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.70 : 5,057.27 = 1,986.14 : x
  2. Step 2: Convert to fraction form
    3,664.70/5,057.27 = 1,986.14/x
  3. Step 3: Cross multiply
    3,664.70x = 5,057.27 × 1,986.14
  4. Step 4: Simplify right side
    3,664.70x = 10,044,465.88
  5. Step 5: Solve for x
    x = 10,044,465.88/3,664.70
  6. Step 6: Final answer
    x = 2,740.87

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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.