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Finding the Fourth Proportional to 3,826.57, 5,733.05 and 1,600.50

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Solution

The fourth proportional to 3,826.57, 5,733.05 and 1,600.50 is: 2,397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.57 : 5,733.05 = 1,600.50 : x
  2. Step 2: Convert to fraction form
    3,826.57/5,733.05 = 1,600.50/x
  3. Step 3: Cross multiply
    3,826.57x = 5,733.05 × 1,600.50
  4. Step 4: Simplify right side
    3,826.57x = 9,175,717.86
  5. Step 5: Solve for x
    x = 9,175,717.86/3,826.57
  6. Step 6: Final answer
    x = 2,397.90

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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.