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Finding the Fourth Proportional to 3,736.68, 5,155.62 and 2,245.26

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Solution

The fourth proportional to 3,736.68, 5,155.62 and 2,245.26 is: 3,097.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,736.68 : 5,155.62 = 2,245.26 : x
  2. Step 2: Convert to fraction form
    3,736.68/5,155.62 = 2,245.26/x
  3. Step 3: Cross multiply
    3,736.68x = 5,155.62 × 2,245.26
  4. Step 4: Simplify right side
    3,736.68x = 11,575,707.36
  5. Step 5: Solve for x
    x = 11,575,707.36/3,736.68
  6. Step 6: Final answer
    x = 3,097.86

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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.