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Finding the Fourth Proportional to 5,076.95, 7,611.75 and 2,302.20

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Solution

The fourth proportional to 5,076.95, 7,611.75 and 2,302.20 is: 3,451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.95 : 7,611.75 = 2,302.20 : x
  2. Step 2: Convert to fraction form
    5,076.95/7,611.75 = 2,302.20/x
  3. Step 3: Cross multiply
    5,076.95x = 7,611.75 × 2,302.20
  4. Step 4: Simplify right side
    5,076.95x = 17,523,770.85
  5. Step 5: Solve for x
    x = 17,523,770.85/5,076.95
  6. Step 6: Final answer
    x = 3,451.64

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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.