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Finding the Fourth Proportional to 4,958.50, 7,440.63 and 2,222.50

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Solution

The fourth proportional to 4,958.50, 7,440.63 and 2,222.50 is: 3,335.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958.50 : 7,440.63 = 2,222.50 : x
  2. Step 2: Convert to fraction form
    4,958.50/7,440.63 = 2,222.50/x
  3. Step 3: Cross multiply
    4,958.50x = 7,440.63 × 2,222.50
  4. Step 4: Simplify right side
    4,958.50x = 16,536,800.18
  5. Step 5: Solve for x
    x = 16,536,800.18/4,958.50
  6. Step 6: Final answer
    x = 3,335.04

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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.