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Finding the Fourth Proportional to 5,228.98, 7,839.87 and 2,630.50

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Solution

The fourth proportional to 5,228.98, 7,839.87 and 2,630.50 is: 3,943.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.98 : 7,839.87 = 2,630.50 : x
  2. Step 2: Convert to fraction form
    5,228.98/7,839.87 = 2,630.50/x
  3. Step 3: Cross multiply
    5,228.98x = 7,839.87 × 2,630.50
  4. Step 4: Simplify right side
    5,228.98x = 20,622,778.04
  5. Step 5: Solve for x
    x = 20,622,778.04/5,228.98
  6. Step 6: Final answer
    x = 3,943.94

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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.