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Finding the Fourth Proportional to 4,367.70, 6,536.16 and 3,578.22

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Solution

The fourth proportional to 4,367.70, 6,536.16 and 3,578.22 is: 5,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.70 : 6,536.16 = 3,578.22 : x
  2. Step 2: Convert to fraction form
    4,367.70/6,536.16 = 3,578.22/x
  3. Step 3: Cross multiply
    4,367.70x = 6,536.16 × 3,578.22
  4. Step 4: Simplify right side
    4,367.70x = 23,387,818.44
  5. Step 5: Solve for x
    x = 23,387,818.44/4,367.70
  6. Step 6: Final answer
    x = 5,354.72

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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.