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Finding the Fourth Proportional to 4,974.78, 7,459.22 and 2,200.05

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Solution

The fourth proportional to 4,974.78, 7,459.22 and 2,200.05 is: 3,298.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.78 : 7,459.22 = 2,200.05 : x
  2. Step 2: Convert to fraction form
    4,974.78/7,459.22 = 2,200.05/x
  3. Step 3: Cross multiply
    4,974.78x = 7,459.22 × 2,200.05
  4. Step 4: Simplify right side
    4,974.78x = 16,410,645.96
  5. Step 5: Solve for x
    x = 16,410,645.96/4,974.78
  6. Step 6: Final answer
    x = 3,298.77

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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.