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Finding the Fourth Proportional to 3,186.86, 4,398.42 and 2,008.32

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Solution

The fourth proportional to 3,186.86, 4,398.42 and 2,008.32 is: 2,771.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.86 : 4,398.42 = 2,008.32 : x
  2. Step 2: Convert to fraction form
    3,186.86/4,398.42 = 2,008.32/x
  3. Step 3: Cross multiply
    3,186.86x = 4,398.42 × 2,008.32
  4. Step 4: Simplify right side
    3,186.86x = 8,833,434.85
  5. Step 5: Solve for x
    x = 8,833,434.85/3,186.86
  6. Step 6: Final answer
    x = 2,771.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.