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Finding the Fourth Proportional to 3,986.96, 5,502.01 and 2,218.53

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Solution

The fourth proportional to 3,986.96, 5,502.01 and 2,218.53 is: 3,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.96 : 5,502.01 = 2,218.53 : x
  2. Step 2: Convert to fraction form
    3,986.96/5,502.01 = 2,218.53/x
  3. Step 3: Cross multiply
    3,986.96x = 5,502.01 × 2,218.53
  4. Step 4: Simplify right side
    3,986.96x = 12,206,374.25
  5. Step 5: Solve for x
    x = 12,206,374.25/3,986.96
  6. Step 6: Final answer
    x = 3,061.57

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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.