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Finding the Fourth Proportional to 5,578.87, 8,348.31 and 4,830.96

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Solution

The fourth proportional to 5,578.87, 8,348.31 and 4,830.96 is: 7,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.87 : 8,348.31 = 4,830.96 : x
  2. Step 2: Convert to fraction form
    5,578.87/8,348.31 = 4,830.96/x
  3. Step 3: Cross multiply
    5,578.87x = 8,348.31 × 4,830.96
  4. Step 4: Simplify right side
    5,578.87x = 40,330,344.67
  5. Step 5: Solve for x
    x = 40,330,344.67/5,578.87
  6. Step 6: Final answer
    x = 7,229.12

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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.