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Finding the Fourth Proportional to 5,815.24, 8,025.20 and 3,578.43

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Solution

The fourth proportional to 5,815.24, 8,025.20 and 3,578.43 is: 4,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.24 : 8,025.20 = 3,578.43 : x
  2. Step 2: Convert to fraction form
    5,815.24/8,025.20 = 3,578.43/x
  3. Step 3: Cross multiply
    5,815.24x = 8,025.20 × 3,578.43
  4. Step 4: Simplify right side
    5,815.24x = 28,717,616.44
  5. Step 5: Solve for x
    x = 28,717,616.44/5,815.24
  6. Step 6: Final answer
    x = 4,938.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.