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Finding the Fourth Proportional to 4,144.20, 5,718.97 and 2,281.20

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Solution

The fourth proportional to 4,144.20, 5,718.97 and 2,281.20 is: 3,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,144.20 : 5,718.97 = 2,281.20 : x
  2. Step 2: Convert to fraction form
    4,144.20/5,718.97 = 2,281.20/x
  3. Step 3: Cross multiply
    4,144.20x = 5,718.97 × 2,281.20
  4. Step 4: Simplify right side
    4,144.20x = 13,046,114.36
  5. Step 5: Solve for x
    x = 13,046,114.36/4,144.20
  6. Step 6: Final answer
    x = 3,148.04

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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.