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Finding the Fourth Proportional to 3,986.97, 5,501.47 and 2,218.23

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Solution

The fourth proportional to 3,986.97, 5,501.47 and 2,218.23 is: 3,060.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.97 : 5,501.47 = 2,218.23 : x
  2. Step 2: Convert to fraction form
    3,986.97/5,501.47 = 2,218.23/x
  3. Step 3: Cross multiply
    3,986.97x = 5,501.47 × 2,218.23
  4. Step 4: Simplify right side
    3,986.97x = 12,203,525.80
  5. Step 5: Solve for x
    x = 12,203,525.80/3,986.97
  6. Step 6: Final answer
    x = 3,060.85

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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.