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Finding the Fourth Proportional to 4,611.60, 6,912.28 and 2,765.20

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Solution

The fourth proportional to 4,611.60, 6,912.28 and 2,765.20 is: 4,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.60 : 6,912.28 = 2,765.20 : x
  2. Step 2: Convert to fraction form
    4,611.60/6,912.28 = 2,765.20/x
  3. Step 3: Cross multiply
    4,611.60x = 6,912.28 × 2,765.20
  4. Step 4: Simplify right side
    4,611.60x = 19,113,836.66
  5. Step 5: Solve for x
    x = 19,113,836.66/4,611.60
  6. Step 6: Final answer
    x = 4,144.73

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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.