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Finding the Fourth Proportional to 5,549.70, 7,656.72 and 3,662.22

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Solution

The fourth proportional to 5,549.70, 7,656.72 and 3,662.22 is: 5,052.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.70 : 7,656.72 = 3,662.22 : x
  2. Step 2: Convert to fraction form
    5,549.70/7,656.72 = 3,662.22/x
  3. Step 3: Cross multiply
    5,549.70x = 7,656.72 × 3,662.22
  4. Step 4: Simplify right side
    5,549.70x = 28,040,593.12
  5. Step 5: Solve for x
    x = 28,040,593.12/5,549.70
  6. Step 6: Final answer
    x = 5,052.63

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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.