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Finding the Fourth Proportional to 3,589.61, 5,385.23 and 2,202.08

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Solution

The fourth proportional to 3,589.61, 5,385.23 and 2,202.08 is: 3,303.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.61 : 5,385.23 = 2,202.08 : x
  2. Step 2: Convert to fraction form
    3,589.61/5,385.23 = 2,202.08/x
  3. Step 3: Cross multiply
    3,589.61x = 5,385.23 × 2,202.08
  4. Step 4: Simplify right side
    3,589.61x = 11,858,696.27
  5. Step 5: Solve for x
    x = 11,858,696.27/3,589.61
  6. Step 6: Final answer
    x = 3,303.62

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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.