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Finding the Fourth Proportional to 5,906.75, 8,862.14 and 2,013.89

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Solution

The fourth proportional to 5,906.75, 8,862.14 and 2,013.89 is: 3,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.75 : 8,862.14 = 2,013.89 : x
  2. Step 2: Convert to fraction form
    5,906.75/8,862.14 = 2,013.89/x
  3. Step 3: Cross multiply
    5,906.75x = 8,862.14 × 2,013.89
  4. Step 4: Simplify right side
    5,906.75x = 17,847,335.85
  5. Step 5: Solve for x
    x = 17,847,335.85/5,906.75
  6. Step 6: Final answer
    x = 3,021.52

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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.