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Finding the Fourth Proportional to 3,738.64, 5,158.12 and 2,247.12

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Solution

The fourth proportional to 3,738.64, 5,158.12 and 2,247.12 is: 3,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.64 : 5,158.12 = 2,247.12 : x
  2. Step 2: Convert to fraction form
    3,738.64/5,158.12 = 2,247.12/x
  3. Step 3: Cross multiply
    3,738.64x = 5,158.12 × 2,247.12
  4. Step 4: Simplify right side
    3,738.64x = 11,590,914.61
  5. Step 5: Solve for x
    x = 11,590,914.61/3,738.64
  6. Step 6: Final answer
    x = 3,100.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.