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Finding the Fourth Proportional to 3,542.45, 5,305.95 and 3,233.03

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Solution

The fourth proportional to 3,542.45, 5,305.95 and 3,233.03 is: 4,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.45 : 5,305.95 = 3,233.03 : x
  2. Step 2: Convert to fraction form
    3,542.45/5,305.95 = 3,233.03/x
  3. Step 3: Cross multiply
    3,542.45x = 5,305.95 × 3,233.03
  4. Step 4: Simplify right side
    3,542.45x = 17,154,295.53
  5. Step 5: Solve for x
    x = 17,154,295.53/3,542.45
  6. Step 6: Final answer
    x = 4,842.49

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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.