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Finding the Fourth Proportional to 5,114.56, 7,058.13 and 2,876.42

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Solution

The fourth proportional to 5,114.56, 7,058.13 and 2,876.42 is: 3,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.56 : 7,058.13 = 2,876.42 : x
  2. Step 2: Convert to fraction form
    5,114.56/7,058.13 = 2,876.42/x
  3. Step 3: Cross multiply
    5,114.56x = 7,058.13 × 2,876.42
  4. Step 4: Simplify right side
    5,114.56x = 20,302,111.00
  5. Step 5: Solve for x
    x = 20,302,111.00/5,114.56
  6. Step 6: Final answer
    x = 3,969.48

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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.