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Finding the Fourth Proportional to 3,869.92, 5,804.88 and 3,052.52

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Solution

The fourth proportional to 3,869.92, 5,804.88 and 3,052.52 is: 4,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.92 : 5,804.88 = 3,052.52 : x
  2. Step 2: Convert to fraction form
    3,869.92/5,804.88 = 3,052.52/x
  3. Step 3: Cross multiply
    3,869.92x = 5,804.88 × 3,052.52
  4. Step 4: Simplify right side
    3,869.92x = 17,719,512.30
  5. Step 5: Solve for x
    x = 17,719,512.30/3,869.92
  6. Step 6: Final answer
    x = 4,578.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.