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Finding the Fourth Proportional to 5,123.06, 7,069.98 and 2,884.97

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Solution

The fourth proportional to 5,123.06, 7,069.98 and 2,884.97 is: 3,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,123.06 : 7,069.98 = 2,884.97 : x
  2. Step 2: Convert to fraction form
    5,123.06/7,069.98 = 2,884.97/x
  3. Step 3: Cross multiply
    5,123.06x = 7,069.98 × 2,884.97
  4. Step 4: Simplify right side
    5,123.06x = 20,396,644.85
  5. Step 5: Solve for x
    x = 20,396,644.85/5,123.06
  6. Step 6: Final answer
    x = 3,981.34

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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.