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Finding the Fourth Proportional to 5,936, 8,881.92 and 3,734.48

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Solution

The fourth proportional to 5,936, 8,881.92 and 3,734.48 is: 5,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936 : 8,881.92 = 3,734.48 : x
  2. Step 2: Convert to fraction form
    5,936/8,881.92 = 3,734.48/x
  3. Step 3: Cross multiply
    5,936x = 8,881.92 × 3,734.48
  4. Step 4: Simplify right side
    5,936x = 33,169,352.60
  5. Step 5: Solve for x
    x = 33,169,352.60/5,936
  6. Step 6: Final answer
    x = 5,587.83

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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.