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Finding the Fourth Proportional to 4,046.22, 6,072.03 and 1,967.22

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Solution

The fourth proportional to 4,046.22, 6,072.03 and 1,967.22 is: 2,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.22 : 6,072.03 = 1,967.22 : x
  2. Step 2: Convert to fraction form
    4,046.22/6,072.03 = 1,967.22/x
  3. Step 3: Cross multiply
    4,046.22x = 6,072.03 × 1,967.22
  4. Step 4: Simplify right side
    4,046.22x = 11,945,018.86
  5. Step 5: Solve for x
    x = 11,945,018.86/4,046.22
  6. Step 6: Final answer
    x = 2,952.14

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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.