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Finding the Fourth Proportional to 5,269.16, 7,902.06 and 2,149.16

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Solution

The fourth proportional to 5,269.16, 7,902.06 and 2,149.16 is: 3,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.16 : 7,902.06 = 2,149.16 : x
  2. Step 2: Convert to fraction form
    5,269.16/7,902.06 = 2,149.16/x
  3. Step 3: Cross multiply
    5,269.16x = 7,902.06 × 2,149.16
  4. Step 4: Simplify right side
    5,269.16x = 16,982,791.27
  5. Step 5: Solve for x
    x = 16,982,791.27/5,269.16
  6. Step 6: Final answer
    x = 3,223.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.