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Finding the Fourth Proportional to 5,766.57, 7,958.49 and 3,529.95

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Solution

The fourth proportional to 5,766.57, 7,958.49 and 3,529.95 is: 4,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.57 : 7,958.49 = 3,529.95 : x
  2. Step 2: Convert to fraction form
    5,766.57/7,958.49 = 3,529.95/x
  3. Step 3: Cross multiply
    5,766.57x = 7,958.49 × 3,529.95
  4. Step 4: Simplify right side
    5,766.57x = 28,093,071.78
  5. Step 5: Solve for x
    x = 28,093,071.78/5,766.57
  6. Step 6: Final answer
    x = 4,871.71

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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.