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Finding the Fourth Proportional to 3,472.90, 5,214.62 and 3,033.88

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Solution

The fourth proportional to 3,472.90, 5,214.62 and 3,033.88 is: 4,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.90 : 5,214.62 = 3,033.88 : x
  2. Step 2: Convert to fraction form
    3,472.90/5,214.62 = 3,033.88/x
  3. Step 3: Cross multiply
    3,472.90x = 5,214.62 × 3,033.88
  4. Step 4: Simplify right side
    3,472.90x = 15,820,531.33
  5. Step 5: Solve for x
    x = 15,820,531.33/3,472.90
  6. Step 6: Final answer
    x = 4,555.42

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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.