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Finding the Fourth Proportional to 5,366, 8,049.72 and 2,288.72

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Solution

The fourth proportional to 5,366, 8,049.72 and 2,288.72 is: 3,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366 : 8,049.72 = 2,288.72 : x
  2. Step 2: Convert to fraction form
    5,366/8,049.72 = 2,288.72/x
  3. Step 3: Cross multiply
    5,366x = 8,049.72 × 2,288.72
  4. Step 4: Simplify right side
    5,366x = 18,423,555.16
  5. Step 5: Solve for x
    x = 18,423,555.16/5,366
  6. Step 6: Final answer
    x = 3,433.39

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Why These Related Problems?

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