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Finding the Fourth Proportional to 3,481.98, 5,223.12 and 1,289.52

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Solution

The fourth proportional to 3,481.98, 5,223.12 and 1,289.52 is: 1,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.98 : 5,223.12 = 1,289.52 : x
  2. Step 2: Convert to fraction form
    3,481.98/5,223.12 = 1,289.52/x
  3. Step 3: Cross multiply
    3,481.98x = 5,223.12 × 1,289.52
  4. Step 4: Simplify right side
    3,481.98x = 6,735,317.70
  5. Step 5: Solve for x
    x = 6,735,317.70/3,481.98
  6. Step 6: Final answer
    x = 1,934.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.