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Finding the Fourth Proportional to 4,131, 5,700.82 and 2,268.04

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Solution

The fourth proportional to 4,131, 5,700.82 and 2,268.04 is: 3,129.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,131 : 5,700.82 = 2,268.04 : x
  2. Step 2: Convert to fraction form
    4,131/5,700.82 = 2,268.04/x
  3. Step 3: Cross multiply
    4,131x = 5,700.82 × 2,268.04
  4. Step 4: Simplify right side
    4,131x = 12,929,687.79
  5. Step 5: Solve for x
    x = 12,929,687.79/4,131
  6. Step 6: Final answer
    x = 3,129.92

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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.