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Finding the Fourth Proportional to 3,853.67, 5,781.80 and 1,221.60

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Solution

The fourth proportional to 3,853.67, 5,781.80 and 1,221.60 is: 1,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.67 : 5,781.80 = 1,221.60 : x
  2. Step 2: Convert to fraction form
    3,853.67/5,781.80 = 1,221.60/x
  3. Step 3: Cross multiply
    3,853.67x = 5,781.80 × 1,221.60
  4. Step 4: Simplify right side
    3,853.67x = 7,063,040.77
  5. Step 5: Solve for x
    x = 7,063,040.77/3,853.67
  6. Step 6: Final answer
    x = 1,832.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.