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Finding the Fourth Proportional to 4,141.29, 5,714 and 2,799.40

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Solution

The fourth proportional to 4,141.29, 5,714 and 2,799.40 is: 3,862.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.29 : 5,714 = 2,799.40 : x
  2. Step 2: Convert to fraction form
    4,141.29/5,714 = 2,799.40/x
  3. Step 3: Cross multiply
    4,141.29x = 5,714 × 2,799.40
  4. Step 4: Simplify right side
    4,141.29x = 15,995,771.60
  5. Step 5: Solve for x
    x = 15,995,771.60/4,141.29
  6. Step 6: Final answer
    x = 3,862.51

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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.