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Finding the Fourth Proportional to 4,222.92, 6,334.92 and 1,625.52

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Solution

The fourth proportional to 4,222.92, 6,334.92 and 1,625.52 is: 2,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.92 : 6,334.92 = 1,625.52 : x
  2. Step 2: Convert to fraction form
    4,222.92/6,334.92 = 1,625.52/x
  3. Step 3: Cross multiply
    4,222.92x = 6,334.92 × 1,625.52
  4. Step 4: Simplify right side
    4,222.92x = 10,297,539.16
  5. Step 5: Solve for x
    x = 10,297,539.16/4,222.92
  6. Step 6: Final answer
    x = 2,438.49

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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.