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Finding the Fourth Proportional to 5,034.92, 6,948.23 and 2,796.98

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Solution

The fourth proportional to 5,034.92, 6,948.23 and 2,796.98 is: 3,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.92 : 6,948.23 = 2,796.98 : x
  2. Step 2: Convert to fraction form
    5,034.92/6,948.23 = 2,796.98/x
  3. Step 3: Cross multiply
    5,034.92x = 6,948.23 × 2,796.98
  4. Step 4: Simplify right side
    5,034.92x = 19,434,011.62
  5. Step 5: Solve for x
    x = 19,434,011.62/5,034.92
  6. Step 6: Final answer
    x = 3,859.85

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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.