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Finding the Fourth Proportional to 5,578.88, 8,369.86 and 4,536.30

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Solution

The fourth proportional to 5,578.88, 8,369.86 and 4,536.30 is: 6,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.88 : 8,369.86 = 4,536.30 : x
  2. Step 2: Convert to fraction form
    5,578.88/8,369.86 = 4,536.30/x
  3. Step 3: Cross multiply
    5,578.88x = 8,369.86 × 4,536.30
  4. Step 4: Simplify right side
    5,578.88x = 37,968,195.92
  5. Step 5: Solve for x
    x = 37,968,195.92/5,578.88
  6. Step 6: Final answer
    x = 6,805.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.