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Finding the Fourth Proportional to 3,986.53, 5,501.47 and 2,218.14

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Solution

The fourth proportional to 3,986.53, 5,501.47 and 2,218.14 is: 3,061.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.53 : 5,501.47 = 2,218.14 : x
  2. Step 2: Convert to fraction form
    3,986.53/5,501.47 = 2,218.14/x
  3. Step 3: Cross multiply
    3,986.53x = 5,501.47 × 2,218.14
  4. Step 4: Simplify right side
    3,986.53x = 12,202,997.61
  5. Step 5: Solve for x
    x = 12,202,997.61/3,986.53
  6. Step 6: Final answer
    x = 3,061.06

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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.