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Finding the Fourth Proportional to 5,247.57, 7,872.21 and 1,550.17

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Solution

The fourth proportional to 5,247.57, 7,872.21 and 1,550.17 is: 2,325.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247.57 : 7,872.21 = 1,550.17 : x
  2. Step 2: Convert to fraction form
    5,247.57/7,872.21 = 1,550.17/x
  3. Step 3: Cross multiply
    5,247.57x = 7,872.21 × 1,550.17
  4. Step 4: Simplify right side
    5,247.57x = 12,203,256.02
  5. Step 5: Solve for x
    x = 12,203,256.02/5,247.57
  6. Step 6: Final answer
    x = 2,325.51

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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.