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Finding the Fourth Proportional to 3,900.03, 5,849.10 and 1,559.31

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Solution

The fourth proportional to 3,900.03, 5,849.10 and 1,559.31 is: 2,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.03 : 5,849.10 = 1,559.31 : x
  2. Step 2: Convert to fraction form
    3,900.03/5,849.10 = 1,559.31/x
  3. Step 3: Cross multiply
    3,900.03x = 5,849.10 × 1,559.31
  4. Step 4: Simplify right side
    3,900.03x = 9,120,560.12
  5. Step 5: Solve for x
    x = 9,120,560.12/3,900.03
  6. Step 6: Final answer
    x = 2,338.59

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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.