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Finding the Fourth Proportional to 3,704.77, 5,110.86 and 2,287.27

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Solution

The fourth proportional to 3,704.77, 5,110.86 and 2,287.27 is: 3,155.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.77 : 5,110.86 = 2,287.27 : x
  2. Step 2: Convert to fraction form
    3,704.77/5,110.86 = 2,287.27/x
  3. Step 3: Cross multiply
    3,704.77x = 5,110.86 × 2,287.27
  4. Step 4: Simplify right side
    3,704.77x = 11,689,916.75
  5. Step 5: Solve for x
    x = 11,689,916.75/3,704.77
  6. Step 6: Final answer
    x = 3,155.37

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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.