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Finding the Fourth Proportional to 5,194.92, 7,165.26 and 5,023.56

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Solution

The fourth proportional to 5,194.92, 7,165.26 and 5,023.56 is: 6,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.92 : 7,165.26 = 5,023.56 : x
  2. Step 2: Convert to fraction form
    5,194.92/7,165.26 = 5,023.56/x
  3. Step 3: Cross multiply
    5,194.92x = 7,165.26 × 5,023.56
  4. Step 4: Simplify right side
    5,194.92x = 35,995,113.53
  5. Step 5: Solve for x
    x = 35,995,113.53/5,194.92
  6. Step 6: Final answer
    x = 6,928.91

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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.