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Finding the Fourth Proportional to 3,736.68, 5,156.43 and 2,244.30

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Solution

The fourth proportional to 3,736.68, 5,156.43 and 2,244.30 is: 3,097.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.68 : 5,156.43 = 2,244.30 : x
  2. Step 2: Convert to fraction form
    3,736.68/5,156.43 = 2,244.30/x
  3. Step 3: Cross multiply
    3,736.68x = 5,156.43 × 2,244.30
  4. Step 4: Simplify right side
    3,736.68x = 11,572,575.85
  5. Step 5: Solve for x
    x = 11,572,575.85/3,736.68
  6. Step 6: Final answer
    x = 3,097.02

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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.