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Finding the Fourth Proportional to 3,363.58, 5,043.03 and 1,414.18

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Solution

The fourth proportional to 3,363.58, 5,043.03 and 1,414.18 is: 2,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363.58 : 5,043.03 = 1,414.18 : x
  2. Step 2: Convert to fraction form
    3,363.58/5,043.03 = 1,414.18/x
  3. Step 3: Cross multiply
    3,363.58x = 5,043.03 × 1,414.18
  4. Step 4: Simplify right side
    3,363.58x = 7,131,752.17
  5. Step 5: Solve for x
    x = 7,131,752.17/3,363.58
  6. Step 6: Final answer
    x = 2,120.29

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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.