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Finding the Fourth Proportional to 5,170.61, 7,748.22 and 2,247.32

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Solution

The fourth proportional to 5,170.61, 7,748.22 and 2,247.32 is: 3,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.61 : 7,748.22 = 2,247.32 : x
  2. Step 2: Convert to fraction form
    5,170.61/7,748.22 = 2,247.32/x
  3. Step 3: Cross multiply
    5,170.61x = 7,748.22 × 2,247.32
  4. Step 4: Simplify right side
    5,170.61x = 17,412,729.77
  5. Step 5: Solve for x
    x = 17,412,729.77/5,170.61
  6. Step 6: Final answer
    x = 3,367.64

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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.