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Finding the Fourth Proportional to 5,824.26, 8,738.10 and 3,601.62

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Solution

The fourth proportional to 5,824.26, 8,738.10 and 3,601.62 is: 5,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.26 : 8,738.10 = 3,601.62 : x
  2. Step 2: Convert to fraction form
    5,824.26/8,738.10 = 3,601.62/x
  3. Step 3: Cross multiply
    5,824.26x = 8,738.10 × 3,601.62
  4. Step 4: Simplify right side
    5,824.26x = 31,471,315.72
  5. Step 5: Solve for x
    x = 31,471,315.72/5,824.26
  6. Step 6: Final answer
    x = 5,403.49

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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.