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Finding the Fourth Proportional to 3,327.82, 4,592.62 and 2,206.82

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Solution

The fourth proportional to 3,327.82, 4,592.62 and 2,206.82 is: 3,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327.82 : 4,592.62 = 2,206.82 : x
  2. Step 2: Convert to fraction form
    3,327.82/4,592.62 = 2,206.82/x
  3. Step 3: Cross multiply
    3,327.82x = 4,592.62 × 2,206.82
  4. Step 4: Simplify right side
    3,327.82x = 10,135,085.67
  5. Step 5: Solve for x
    x = 10,135,085.67/3,327.82
  6. Step 6: Final answer
    x = 3,045.56

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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.