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Finding the Fourth Proportional to 3,626.65, 5,432.83 and 1,772.26

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Solution

The fourth proportional to 3,626.65, 5,432.83 and 1,772.26 is: 2,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.65 : 5,432.83 = 1,772.26 : x
  2. Step 2: Convert to fraction form
    3,626.65/5,432.83 = 1,772.26/x
  3. Step 3: Cross multiply
    3,626.65x = 5,432.83 × 1,772.26
  4. Step 4: Simplify right side
    3,626.65x = 9,628,387.30
  5. Step 5: Solve for x
    x = 9,628,387.30/3,626.65
  6. Step 6: Final answer
    x = 2,654.90

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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.