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Finding the Fourth Proportional to 3,491.88, 5,239.08 and 1,759.20

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Solution

The fourth proportional to 3,491.88, 5,239.08 and 1,759.20 is: 2,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.88 : 5,239.08 = 1,759.20 : x
  2. Step 2: Convert to fraction form
    3,491.88/5,239.08 = 1,759.20/x
  3. Step 3: Cross multiply
    3,491.88x = 5,239.08 × 1,759.20
  4. Step 4: Simplify right side
    3,491.88x = 9,216,589.54
  5. Step 5: Solve for x
    x = 9,216,589.54/3,491.88
  6. Step 6: Final answer
    x = 2,639.43

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1.5x scale

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.