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Finding the Fourth Proportional to 3,958.97, 5,938 and 1,037.51

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Solution

The fourth proportional to 3,958.97, 5,938 and 1,037.51 is: 1,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.97 : 5,938 = 1,037.51 : x
  2. Step 2: Convert to fraction form
    3,958.97/5,938 = 1,037.51/x
  3. Step 3: Cross multiply
    3,958.97x = 5,938 × 1,037.51
  4. Step 4: Simplify right side
    3,958.97x = 6,160,704.69
  5. Step 5: Solve for x
    x = 6,160,704.69/3,958.97
  6. Step 6: Final answer
    x = 1,556.14

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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.