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Finding the Fourth Proportional to 3,648, 5,469 and 1,454.60

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Solution

The fourth proportional to 3,648, 5,469 and 1,454.60 is: 2,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648 : 5,469 = 1,454.60 : x
  2. Step 2: Convert to fraction form
    3,648/5,469 = 1,454.60/x
  3. Step 3: Cross multiply
    3,648x = 5,469 × 1,454.60
  4. Step 4: Simplify right side
    3,648x = 7,955,207.40
  5. Step 5: Solve for x
    x = 7,955,207.40/3,648
  6. Step 6: Final answer
    x = 2,180.70

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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.