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Finding the Fourth Proportional to 3,894.35, 5,840.17 and 2,020.38

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Solution

The fourth proportional to 3,894.35, 5,840.17 and 2,020.38 is: 3,029.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.35 : 5,840.17 = 2,020.38 : x
  2. Step 2: Convert to fraction form
    3,894.35/5,840.17 = 2,020.38/x
  3. Step 3: Cross multiply
    3,894.35x = 5,840.17 × 2,020.38
  4. Step 4: Simplify right side
    3,894.35x = 11,799,335.71
  5. Step 5: Solve for x
    x = 11,799,335.71/3,894.35
  6. Step 6: Final answer
    x = 3,029.86

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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.