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Finding the Fourth Proportional to 3,930.96, 5,902.71 and 2,288.70

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Solution

The fourth proportional to 3,930.96, 5,902.71 and 2,288.70 is: 3,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.96 : 5,902.71 = 2,288.70 : x
  2. Step 2: Convert to fraction form
    3,930.96/5,902.71 = 2,288.70/x
  3. Step 3: Cross multiply
    3,930.96x = 5,902.71 × 2,288.70
  4. Step 4: Simplify right side
    3,930.96x = 13,509,532.38
  5. Step 5: Solve for x
    x = 13,509,532.38/3,930.96
  6. Step 6: Final answer
    x = 3,436.70

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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.