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Finding the Fourth Proportional to 5,696.24, 8,543.91 and 1,800.68

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Solution

The fourth proportional to 5,696.24, 8,543.91 and 1,800.68 is: 2,700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.24 : 8,543.91 = 1,800.68 : x
  2. Step 2: Convert to fraction form
    5,696.24/8,543.91 = 1,800.68/x
  3. Step 3: Cross multiply
    5,696.24x = 8,543.91 × 1,800.68
  4. Step 4: Simplify right side
    5,696.24x = 15,384,847.86
  5. Step 5: Solve for x
    x = 15,384,847.86/5,696.24
  6. Step 6: Final answer
    x = 2,700.88

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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.