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Finding the Fourth Proportional to 5,532.40, 8,293.20 and 4,949.20

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Solution

The fourth proportional to 5,532.40, 8,293.20 and 4,949.20 is: 7,418.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,532.40 : 8,293.20 = 4,949.20 : x
  2. Step 2: Convert to fraction form
    5,532.40/8,293.20 = 4,949.20/x
  3. Step 3: Cross multiply
    5,532.40x = 8,293.20 × 4,949.20
  4. Step 4: Simplify right side
    5,532.40x = 41,044,705.44
  5. Step 5: Solve for x
    x = 41,044,705.44/5,532.40
  6. Step 6: Final answer
    x = 7,418.97

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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.