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Finding the Fourth Proportional to 3,899.80, 5,850.07 and 1,559.25

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Solution

The fourth proportional to 3,899.80, 5,850.07 and 1,559.25 is: 2,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.80 : 5,850.07 = 1,559.25 : x
  2. Step 2: Convert to fraction form
    3,899.80/5,850.07 = 1,559.25/x
  3. Step 3: Cross multiply
    3,899.80x = 5,850.07 × 1,559.25
  4. Step 4: Simplify right side
    3,899.80x = 9,121,721.65
  5. Step 5: Solve for x
    x = 9,121,721.65/3,899.80
  6. Step 6: Final answer
    x = 2,339.02

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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.