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Finding the Fourth Proportional to 3,781.67, 5,218.34 and 2,102.91

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Solution

The fourth proportional to 3,781.67, 5,218.34 and 2,102.91 is: 2,901.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.67 : 5,218.34 = 2,102.91 : x
  2. Step 2: Convert to fraction form
    3,781.67/5,218.34 = 2,102.91/x
  3. Step 3: Cross multiply
    3,781.67x = 5,218.34 × 2,102.91
  4. Step 4: Simplify right side
    3,781.67x = 10,973,701.60
  5. Step 5: Solve for x
    x = 10,973,701.60/3,781.67
  6. Step 6: Final answer
    x = 2,901.81

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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.