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Finding the Fourth Proportional to 4,137.38, 6,212.24 and 4,063.58

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Solution

The fourth proportional to 4,137.38, 6,212.24 and 4,063.58 is: 6,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.38 : 6,212.24 = 4,063.58 : x
  2. Step 2: Convert to fraction form
    4,137.38/6,212.24 = 4,063.58/x
  3. Step 3: Cross multiply
    4,137.38x = 6,212.24 × 4,063.58
  4. Step 4: Simplify right side
    4,137.38x = 25,243,934.22
  5. Step 5: Solve for x
    x = 25,243,934.22/4,137.38
  6. Step 6: Final answer
    x = 6,101.43

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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.