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Finding the Fourth Proportional to 3,704.56, 5,111.62 and 2,287.12

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Solution

The fourth proportional to 3,704.56, 5,111.62 and 2,287.12 is: 3,155.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.56 : 5,111.62 = 2,287.12 : x
  2. Step 2: Convert to fraction form
    3,704.56/5,111.62 = 2,287.12/x
  3. Step 3: Cross multiply
    3,704.56x = 5,111.62 × 2,287.12
  4. Step 4: Simplify right side
    3,704.56x = 11,690,888.33
  5. Step 5: Solve for x
    x = 11,690,888.33/3,704.56
  6. Step 6: Final answer
    x = 3,155.81

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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.