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Finding the Fourth Proportional to 4,954.88, 7,427.46 and 2,765.46

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Solution

The fourth proportional to 4,954.88, 7,427.46 and 2,765.46 is: 4,145.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.88 : 7,427.46 = 2,765.46 : x
  2. Step 2: Convert to fraction form
    4,954.88/7,427.46 = 2,765.46/x
  3. Step 3: Cross multiply
    4,954.88x = 7,427.46 × 2,765.46
  4. Step 4: Simplify right side
    4,954.88x = 20,540,343.53
  5. Step 5: Solve for x
    x = 20,540,343.53/4,954.88
  6. Step 6: Final answer
    x = 4,145.48

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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.