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Finding the Fourth Proportional to 5,704.41, 8,479.64 and 5,536.24

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Solution

The fourth proportional to 5,704.41, 8,479.64 and 5,536.24 is: 8,229.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.41 : 8,479.64 = 5,536.24 : x
  2. Step 2: Convert to fraction form
    5,704.41/8,479.64 = 5,536.24/x
  3. Step 3: Cross multiply
    5,704.41x = 8,479.64 × 5,536.24
  4. Step 4: Simplify right side
    5,704.41x = 46,945,322.15
  5. Step 5: Solve for x
    x = 46,945,322.15/5,704.41
  6. Step 6: Final answer
    x = 8,229.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.