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Finding the Fourth Proportional to 4,189.69, 6,291.08 and 3,611.20

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Solution

The fourth proportional to 4,189.69, 6,291.08 and 3,611.20 is: 5,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.69 : 6,291.08 = 3,611.20 : x
  2. Step 2: Convert to fraction form
    4,189.69/6,291.08 = 3,611.20/x
  3. Step 3: Cross multiply
    4,189.69x = 6,291.08 × 3,611.20
  4. Step 4: Simplify right side
    4,189.69x = 22,718,348.10
  5. Step 5: Solve for x
    x = 22,718,348.10/4,189.69
  6. Step 6: Final answer
    x = 5,422.44

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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.