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Finding the Fourth Proportional to 3,911.71, 5,398.42 and 2,568.13

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Solution

The fourth proportional to 3,911.71, 5,398.42 and 2,568.13 is: 3,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.71 : 5,398.42 = 2,568.13 : x
  2. Step 2: Convert to fraction form
    3,911.71/5,398.42 = 2,568.13/x
  3. Step 3: Cross multiply
    3,911.71x = 5,398.42 × 2,568.13
  4. Step 4: Simplify right side
    3,911.71x = 13,863,844.35
  5. Step 5: Solve for x
    x = 13,863,844.35/3,911.71
  6. Step 6: Final answer
    x = 3,544.19

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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.