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Finding the Fourth Proportional to 3,287.97, 4,951.24 and 2,369.89

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Solution

The fourth proportional to 3,287.97, 4,951.24 and 2,369.89 is: 3,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.97 : 4,951.24 = 2,369.89 : x
  2. Step 2: Convert to fraction form
    3,287.97/4,951.24 = 2,369.89/x
  3. Step 3: Cross multiply
    3,287.97x = 4,951.24 × 2,369.89
  4. Step 4: Simplify right side
    3,287.97x = 11,733,894.43
  5. Step 5: Solve for x
    x = 11,733,894.43/3,287.97
  6. Step 6: Final answer
    x = 3,568.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.