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Finding the Fourth Proportional to 3,986.91, 5,502.06 and 2,218.50

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Solution

The fourth proportional to 3,986.91, 5,502.06 and 2,218.50 is: 3,061.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.91 : 5,502.06 = 2,218.50 : x
  2. Step 2: Convert to fraction form
    3,986.91/5,502.06 = 2,218.50/x
  3. Step 3: Cross multiply
    3,986.91x = 5,502.06 × 2,218.50
  4. Step 4: Simplify right side
    3,986.91x = 12,206,320.11
  5. Step 5: Solve for x
    x = 12,206,320.11/3,986.91
  6. Step 6: Final answer
    x = 3,061.60

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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.