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Finding the Fourth Proportional to 3,738.22, 5,158.03 and 2,245.59

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Solution

The fourth proportional to 3,738.22, 5,158.03 and 2,245.59 is: 3,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.22 : 5,158.03 = 2,245.59 : x
  2. Step 2: Convert to fraction form
    3,738.22/5,158.03 = 2,245.59/x
  3. Step 3: Cross multiply
    3,738.22x = 5,158.03 × 2,245.59
  4. Step 4: Simplify right side
    3,738.22x = 11,582,819.18
  5. Step 5: Solve for x
    x = 11,582,819.18/3,738.22
  6. Step 6: Final answer
    x = 3,098.49

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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.