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Finding the Fourth Proportional to 5,269.24, 7,908.65 and 2,806.15

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Solution

The fourth proportional to 5,269.24, 7,908.65 and 2,806.15 is: 4,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.24 : 7,908.65 = 2,806.15 : x
  2. Step 2: Convert to fraction form
    5,269.24/7,908.65 = 2,806.15/x
  3. Step 3: Cross multiply
    5,269.24x = 7,908.65 × 2,806.15
  4. Step 4: Simplify right side
    5,269.24x = 22,192,844.17
  5. Step 5: Solve for x
    x = 22,192,844.17/5,269.24
  6. Step 6: Final answer
    x = 4,211.77

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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.