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Finding the Fourth Proportional to 7,301.57, 10,076.15 and 3,944.38

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Solution

The fourth proportional to 7,301.57, 10,076.15 and 3,944.38 is: 5,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.57 : 10,076.15 = 3,944.38 : x
  2. Step 2: Convert to fraction form
    7,301.57/10,076.15 = 3,944.38/x
  3. Step 3: Cross multiply
    7,301.57x = 10,076.15 × 3,944.38
  4. Step 4: Simplify right side
    7,301.57x = 39,744,149.21
  5. Step 5: Solve for x
    x = 39,744,149.21/7,301.57
  6. Step 6: Final answer
    x = 5,443.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.