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Finding the Fourth Proportional to 3,836.57, 5,755.18 and 1,063.24

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Solution

The fourth proportional to 3,836.57, 5,755.18 and 1,063.24 is: 1,594.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.57 : 5,755.18 = 1,063.24 : x
  2. Step 2: Convert to fraction form
    3,836.57/5,755.18 = 1,063.24/x
  3. Step 3: Cross multiply
    3,836.57x = 5,755.18 × 1,063.24
  4. Step 4: Simplify right side
    3,836.57x = 6,119,154.63
  5. Step 5: Solve for x
    x = 6,119,154.63/3,836.57
  6. Step 6: Final answer
    x = 1,594.95

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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.