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Finding the Fourth Proportional to 4,072.08, 6,095.97 and 4,002.42

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Solution

The fourth proportional to 4,072.08, 6,095.97 and 4,002.42 is: 5,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.08 : 6,095.97 = 4,002.42 : x
  2. Step 2: Convert to fraction form
    4,072.08/6,095.97 = 4,002.42/x
  3. Step 3: Cross multiply
    4,072.08x = 6,095.97 × 4,002.42
  4. Step 4: Simplify right side
    4,072.08x = 24,398,632.25
  5. Step 5: Solve for x
    x = 24,398,632.25/4,072.08
  6. Step 6: Final answer
    x = 5,991.69

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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.