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Finding the Fourth Proportional to 3,748.59, 5,168.22 and 3,073.92

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Solution

The fourth proportional to 3,748.59, 5,168.22 and 3,073.92 is: 4,238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.59 : 5,168.22 = 3,073.92 : x
  2. Step 2: Convert to fraction form
    3,748.59/5,168.22 = 3,073.92/x
  3. Step 3: Cross multiply
    3,748.59x = 5,168.22 × 3,073.92
  4. Step 4: Simplify right side
    3,748.59x = 15,886,694.82
  5. Step 5: Solve for x
    x = 15,886,694.82/3,748.59
  6. Step 6: Final answer
    x = 4,238.05

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