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Finding the Fourth Proportional to 3,422.86, 5,142.78 and 2,190.82

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Solution

The fourth proportional to 3,422.86, 5,142.78 and 2,190.82 is: 3,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.86 : 5,142.78 = 2,190.82 : x
  2. Step 2: Convert to fraction form
    3,422.86/5,142.78 = 2,190.82/x
  3. Step 3: Cross multiply
    3,422.86x = 5,142.78 × 2,190.82
  4. Step 4: Simplify right side
    3,422.86x = 11,266,905.28
  5. Step 5: Solve for x
    x = 11,266,905.28/3,422.86
  6. Step 6: Final answer
    x = 3,291.66

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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.