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Finding the Fourth Proportional to 4,105.80, 5,656.08 and 3,266.22

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Solution

The fourth proportional to 4,105.80, 5,656.08 and 3,266.22 is: 4,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.80 : 5,656.08 = 3,266.22 : x
  2. Step 2: Convert to fraction form
    4,105.80/5,656.08 = 3,266.22/x
  3. Step 3: Cross multiply
    4,105.80x = 5,656.08 × 3,266.22
  4. Step 4: Simplify right side
    4,105.80x = 18,474,001.62
  5. Step 5: Solve for x
    x = 18,474,001.62/4,105.80
  6. Step 6: Final answer
    x = 4,499.49

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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.