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Finding the Fourth Proportional to 5,546.72, 7,655.78 and 3,190.22

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Solution

The fourth proportional to 5,546.72, 7,655.78 and 3,190.22 is: 4,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.72 : 7,655.78 = 3,190.22 : x
  2. Step 2: Convert to fraction form
    5,546.72/7,655.78 = 3,190.22/x
  3. Step 3: Cross multiply
    5,546.72x = 7,655.78 × 3,190.22
  4. Step 4: Simplify right side
    5,546.72x = 24,423,622.47
  5. Step 5: Solve for x
    x = 24,423,622.47/5,546.72
  6. Step 6: Final answer
    x = 4,403.25

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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.