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Finding the Fourth Proportional to 3,781.29, 5,659.80 and 2,021.90

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Solution

The fourth proportional to 3,781.29, 5,659.80 and 2,021.90 is: 3,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.29 : 5,659.80 = 2,021.90 : x
  2. Step 2: Convert to fraction form
    3,781.29/5,659.80 = 2,021.90/x
  3. Step 3: Cross multiply
    3,781.29x = 5,659.80 × 2,021.90
  4. Step 4: Simplify right side
    3,781.29x = 11,443,521.32
  5. Step 5: Solve for x
    x = 11,443,521.32/3,781.29
  6. Step 6: Final answer
    x = 3,026.35

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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.