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Finding the Fourth Proportional to 4,231.74, 5,841.08 and 2,739.76

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Solution

The fourth proportional to 4,231.74, 5,841.08 and 2,739.76 is: 3,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.74 : 5,841.08 = 2,739.76 : x
  2. Step 2: Convert to fraction form
    4,231.74/5,841.08 = 2,739.76/x
  3. Step 3: Cross multiply
    4,231.74x = 5,841.08 × 2,739.76
  4. Step 4: Simplify right side
    4,231.74x = 16,003,139.31
  5. Step 5: Solve for x
    x = 16,003,139.31/4,231.74
  6. Step 6: Final answer
    x = 3,781.69

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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.