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Finding the Fourth Proportional to 3,309.53, 4,564.13 and 2,191.60

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Solution

The fourth proportional to 3,309.53, 4,564.13 and 2,191.60 is: 3,022.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.53 : 4,564.13 = 2,191.60 : x
  2. Step 2: Convert to fraction form
    3,309.53/4,564.13 = 2,191.60/x
  3. Step 3: Cross multiply
    3,309.53x = 4,564.13 × 2,191.60
  4. Step 4: Simplify right side
    3,309.53x = 10,002,747.31
  5. Step 5: Solve for x
    x = 10,002,747.31/3,309.53
  6. Step 6: Final answer
    x = 3,022.41

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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.