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Finding the Fourth Proportional to 5,546.88, 7,643.16 and 3,775.41

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Solution

The fourth proportional to 5,546.88, 7,643.16 and 3,775.41 is: 5,202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.88 : 7,643.16 = 3,775.41 : x
  2. Step 2: Convert to fraction form
    5,546.88/7,643.16 = 3,775.41/x
  3. Step 3: Cross multiply
    5,546.88x = 7,643.16 × 3,775.41
  4. Step 4: Simplify right side
    5,546.88x = 28,856,062.70
  5. Step 5: Solve for x
    x = 28,856,062.70/5,546.88
  6. Step 6: Final answer
    x = 5,202.22

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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.