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Finding the Fourth Proportional to 3,839.50, 5,758.98 and 1,028.26

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Solution

The fourth proportional to 3,839.50, 5,758.98 and 1,028.26 is: 1,542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.50 : 5,758.98 = 1,028.26 : x
  2. Step 2: Convert to fraction form
    3,839.50/5,758.98 = 1,028.26/x
  3. Step 3: Cross multiply
    3,839.50x = 5,758.98 × 1,028.26
  4. Step 4: Simplify right side
    3,839.50x = 5,921,728.77
  5. Step 5: Solve for x
    x = 5,921,728.77/3,839.50
  6. Step 6: Final answer
    x = 1,542.32

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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.