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Finding the Fourth Proportional to 5,718.86, 8,578.20 and 1,823.24

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Solution

The fourth proportional to 5,718.86, 8,578.20 and 1,823.24 is: 2,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.86 : 8,578.20 = 1,823.24 : x
  2. Step 2: Convert to fraction form
    5,718.86/8,578.20 = 1,823.24/x
  3. Step 3: Cross multiply
    5,718.86x = 8,578.20 × 1,823.24
  4. Step 4: Simplify right side
    5,718.86x = 15,640,117.37
  5. Step 5: Solve for x
    x = 15,640,117.37/5,718.86
  6. Step 6: Final answer
    x = 2,734.83

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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.