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Finding the Fourth Proportional to 5,114.78, 7,058.22 and 2,876.78

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Solution

The fourth proportional to 5,114.78, 7,058.22 and 2,876.78 is: 3,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.78 : 7,058.22 = 2,876.78 : x
  2. Step 2: Convert to fraction form
    5,114.78/7,058.22 = 2,876.78/x
  3. Step 3: Cross multiply
    5,114.78x = 7,058.22 × 2,876.78
  4. Step 4: Simplify right side
    5,114.78x = 20,304,946.13
  5. Step 5: Solve for x
    x = 20,304,946.13/5,114.78
  6. Step 6: Final answer
    x = 3,969.86

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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.