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Finding the Fourth Proportional to 5,114.57, 7,058.12 and 2,876.47

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Solution

The fourth proportional to 5,114.57, 7,058.12 and 2,876.47 is: 3,969.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.57 : 7,058.12 = 2,876.47 : x
  2. Step 2: Convert to fraction form
    5,114.57/7,058.12 = 2,876.47/x
  3. Step 3: Cross multiply
    5,114.57x = 7,058.12 × 2,876.47
  4. Step 4: Simplify right side
    5,114.57x = 20,302,420.76
  5. Step 5: Solve for x
    x = 20,302,420.76/5,114.57
  6. Step 6: Final answer
    x = 3,969.53

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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.