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Finding the Fourth Proportional to 5,096.24, 7,629.24 and 3,115.94

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Solution

The fourth proportional to 5,096.24, 7,629.24 and 3,115.94 is: 4,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.24 : 7,629.24 = 3,115.94 : x
  2. Step 2: Convert to fraction form
    5,096.24/7,629.24 = 3,115.94/x
  3. Step 3: Cross multiply
    5,096.24x = 7,629.24 × 3,115.94
  4. Step 4: Simplify right side
    5,096.24x = 23,772,254.09
  5. Step 5: Solve for x
    x = 23,772,254.09/5,096.24
  6. Step 6: Final answer
    x = 4,664.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.