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Finding the Fourth Proportional to 3,424.62, 5,126.44 and 2,438.67

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Solution

The fourth proportional to 3,424.62, 5,126.44 and 2,438.67 is: 3,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.62 : 5,126.44 = 2,438.67 : x
  2. Step 2: Convert to fraction form
    3,424.62/5,126.44 = 2,438.67/x
  3. Step 3: Cross multiply
    3,424.62x = 5,126.44 × 2,438.67
  4. Step 4: Simplify right side
    3,424.62x = 12,501,695.43
  5. Step 5: Solve for x
    x = 12,501,695.43/3,424.62
  6. Step 6: Final answer
    x = 3,650.54

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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.