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Finding the Fourth Proportional to 5,736.72, 8,602.56 and 2,960.76

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Solution

The fourth proportional to 5,736.72, 8,602.56 and 2,960.76 is: 4,439.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.72 : 8,602.56 = 2,960.76 : x
  2. Step 2: Convert to fraction form
    5,736.72/8,602.56 = 2,960.76/x
  3. Step 3: Cross multiply
    5,736.72x = 8,602.56 × 2,960.76
  4. Step 4: Simplify right side
    5,736.72x = 25,470,115.55
  5. Step 5: Solve for x
    x = 25,470,115.55/5,736.72
  6. Step 6: Final answer
    x = 4,439.84

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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.