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Finding the Fourth Proportional to 3,290.96, 4,539 and 2,241.20

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Solution

The fourth proportional to 3,290.96, 4,539 and 2,241.20 is: 3,091.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.96 : 4,539 = 2,241.20 : x
  2. Step 2: Convert to fraction form
    3,290.96/4,539 = 2,241.20/x
  3. Step 3: Cross multiply
    3,290.96x = 4,539 × 2,241.20
  4. Step 4: Simplify right side
    3,290.96x = 10,172,806.80
  5. Step 5: Solve for x
    x = 10,172,806.80/3,290.96
  6. Step 6: Final answer
    x = 3,091.14

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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.