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Finding the Fourth Proportional to 3,736.77, 5,157 and 2,244.66

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Solution

The fourth proportional to 3,736.77, 5,157 and 2,244.66 is: 3,097.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.77 : 5,157 = 2,244.66 : x
  2. Step 2: Convert to fraction form
    3,736.77/5,157 = 2,244.66/x
  3. Step 3: Cross multiply
    3,736.77x = 5,157 × 2,244.66
  4. Step 4: Simplify right side
    3,736.77x = 11,575,711.62
  5. Step 5: Solve for x
    x = 11,575,711.62/3,736.77
  6. Step 6: Final answer
    x = 3,097.79

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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.