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Finding the Fourth Proportional to 3,785.86, 5,224.13 and 2,791.68

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Solution

The fourth proportional to 3,785.86, 5,224.13 and 2,791.68 is: 3,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.86 : 5,224.13 = 2,791.68 : x
  2. Step 2: Convert to fraction form
    3,785.86/5,224.13 = 2,791.68/x
  3. Step 3: Cross multiply
    3,785.86x = 5,224.13 × 2,791.68
  4. Step 4: Simplify right side
    3,785.86x = 14,584,059.16
  5. Step 5: Solve for x
    x = 14,584,059.16/3,785.86
  6. Step 6: Final answer
    x = 3,852.24

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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.