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Finding the Fourth Proportional to 5,046.27, 7,568.84 and 1,348.42

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Solution

The fourth proportional to 5,046.27, 7,568.84 and 1,348.42 is: 2,022.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,046.27 : 7,568.84 = 1,348.42 : x
  2. Step 2: Convert to fraction form
    5,046.27/7,568.84 = 1,348.42/x
  3. Step 3: Cross multiply
    5,046.27x = 7,568.84 × 1,348.42
  4. Step 4: Simplify right side
    5,046.27x = 10,205,995.16
  5. Step 5: Solve for x
    x = 10,205,995.16/5,046.27
  6. Step 6: Final answer
    x = 2,022.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.