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Finding the Fourth Proportional to 3,833.67, 5,291.19 and 2,342.91

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Solution

The fourth proportional to 3,833.67, 5,291.19 and 2,342.91 is: 3,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.67 : 5,291.19 = 2,342.91 : x
  2. Step 2: Convert to fraction form
    3,833.67/5,291.19 = 2,342.91/x
  3. Step 3: Cross multiply
    3,833.67x = 5,291.19 × 2,342.91
  4. Step 4: Simplify right side
    3,833.67x = 12,396,781.96
  5. Step 5: Solve for x
    x = 12,396,781.96/3,833.67
  6. Step 6: Final answer
    x = 3,233.66

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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.