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Finding the Fourth Proportional to 5,761.89, 8,648.84 and 5,107.95

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Solution

The fourth proportional to 5,761.89, 8,648.84 and 5,107.95 is: 7,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.89 : 8,648.84 = 5,107.95 : x
  2. Step 2: Convert to fraction form
    5,761.89/8,648.84 = 5,107.95/x
  3. Step 3: Cross multiply
    5,761.89x = 8,648.84 × 5,107.95
  4. Step 4: Simplify right side
    5,761.89x = 44,177,855.05
  5. Step 5: Solve for x
    x = 44,177,855.05/5,761.89
  6. Step 6: Final answer
    x = 7,667.25

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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.