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Finding the Fourth Proportional to 3,959.26, 5,938.90 and 1,037.86

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Solution

The fourth proportional to 3,959.26, 5,938.90 and 1,037.86 is: 1,556.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.26 : 5,938.90 = 1,037.86 : x
  2. Step 2: Convert to fraction form
    3,959.26/5,938.90 = 1,037.86/x
  3. Step 3: Cross multiply
    3,959.26x = 5,938.90 × 1,037.86
  4. Step 4: Simplify right side
    3,959.26x = 6,163,746.75
  5. Step 5: Solve for x
    x = 6,163,746.75/3,959.26
  6. Step 6: Final answer
    x = 1,556.79

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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.