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Finding the Fourth Proportional to 3,735.33, 5,602.61 and 961.92

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Solution

The fourth proportional to 3,735.33, 5,602.61 and 961.92 is: 1,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.33 : 5,602.61 = 961.92 : x
  2. Step 2: Convert to fraction form
    3,735.33/5,602.61 = 961.92/x
  3. Step 3: Cross multiply
    3,735.33x = 5,602.61 × 961.92
  4. Step 4: Simplify right side
    3,735.33x = 5,389,257.80
  5. Step 5: Solve for x
    x = 5,389,257.80/3,735.33
  6. Step 6: Final answer
    x = 1,442.78

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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.