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Finding the Fourth Proportional to 4,034.42, 5,568.06 and 2,266.16

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Solution

The fourth proportional to 4,034.42, 5,568.06 and 2,266.16 is: 3,127.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,034.42 : 5,568.06 = 2,266.16 : x
  2. Step 2: Convert to fraction form
    4,034.42/5,568.06 = 2,266.16/x
  3. Step 3: Cross multiply
    4,034.42x = 5,568.06 × 2,266.16
  4. Step 4: Simplify right side
    4,034.42x = 12,618,114.85
  5. Step 5: Solve for x
    x = 12,618,114.85/4,034.42
  6. Step 6: Final answer
    x = 3,127.62

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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.