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Finding the Fourth Proportional to 7,301.92, 10,939.92 and 3,841.60

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Solution

The fourth proportional to 7,301.92, 10,939.92 and 3,841.60 is: 5,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.92 : 10,939.92 = 3,841.60 : x
  2. Step 2: Convert to fraction form
    7,301.92/10,939.92 = 3,841.60/x
  3. Step 3: Cross multiply
    7,301.92x = 10,939.92 × 3,841.60
  4. Step 4: Simplify right side
    7,301.92x = 42,026,796.67
  5. Step 5: Solve for x
    x = 42,026,796.67/7,301.92
  6. Step 6: Final answer
    x = 5,755.58

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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.