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Finding the Fourth Proportional to 3,025.35, 4,537.22 and 834.30

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Solution

The fourth proportional to 3,025.35, 4,537.22 and 834.30 is: 1,251.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.35 : 4,537.22 = 834.30 : x
  2. Step 2: Convert to fraction form
    3,025.35/4,537.22 = 834.30/x
  3. Step 3: Cross multiply
    3,025.35x = 4,537.22 × 834.30
  4. Step 4: Simplify right side
    3,025.35x = 3,785,398.47
  5. Step 5: Solve for x
    x = 3,785,398.47/3,025.35
  6. Step 6: Final answer
    x = 1,251.23

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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.