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Finding the Fourth Proportional to 5,247.15, 7,872.24 and 1,549.50

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Solution

The fourth proportional to 5,247.15, 7,872.24 and 1,549.50 is: 2,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.15 : 7,872.24 = 1,549.50 : x
  2. Step 2: Convert to fraction form
    5,247.15/7,872.24 = 1,549.50/x
  3. Step 3: Cross multiply
    5,247.15x = 7,872.24 × 1,549.50
  4. Step 4: Simplify right side
    5,247.15x = 12,198,035.88
  5. Step 5: Solve for x
    x = 12,198,035.88/5,247.15
  6. Step 6: Final answer
    x = 2,324.70

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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.