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Finding the Fourth Proportional to 5,286.98, 7,294.92 and 3,190.70

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Solution

The fourth proportional to 5,286.98, 7,294.92 and 3,190.70 is: 4,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.98 : 7,294.92 = 3,190.70 : x
  2. Step 2: Convert to fraction form
    5,286.98/7,294.92 = 3,190.70/x
  3. Step 3: Cross multiply
    5,286.98x = 7,294.92 × 3,190.70
  4. Step 4: Simplify right side
    5,286.98x = 23,275,901.24
  5. Step 5: Solve for x
    x = 23,275,901.24/5,286.98
  6. Step 6: Final answer
    x = 4,402.49

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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.