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Finding the Fourth Proportional to 4,198.64, 6,291.77 and 3,737.30

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Solution

The fourth proportional to 4,198.64, 6,291.77 and 3,737.30 is: 5,600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.64 : 6,291.77 = 3,737.30 : x
  2. Step 2: Convert to fraction form
    4,198.64/6,291.77 = 3,737.30/x
  3. Step 3: Cross multiply
    4,198.64x = 6,291.77 × 3,737.30
  4. Step 4: Simplify right side
    4,198.64x = 23,514,181.88
  5. Step 5: Solve for x
    x = 23,514,181.88/4,198.64
  6. Step 6: Final answer
    x = 5,600.43

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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.