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Finding the Fourth Proportional to 3,391.85, 5,087.78 and 926.92

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Solution

The fourth proportional to 3,391.85, 5,087.78 and 926.92 is: 1,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391.85 : 5,087.78 = 926.92 : x
  2. Step 2: Convert to fraction form
    3,391.85/5,087.78 = 926.92/x
  3. Step 3: Cross multiply
    3,391.85x = 5,087.78 × 926.92
  4. Step 4: Simplify right side
    3,391.85x = 4,715,965.04
  5. Step 5: Solve for x
    x = 4,715,965.04/3,391.85
  6. Step 6: Final answer
    x = 1,390.38

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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.