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Finding the Fourth Proportional to 3,202, 4,777.87 and 2,874.76

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Solution

The fourth proportional to 3,202, 4,777.87 and 2,874.76 is: 4,289.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202 : 4,777.87 = 2,874.76 : x
  2. Step 2: Convert to fraction form
    3,202/4,777.87 = 2,874.76/x
  3. Step 3: Cross multiply
    3,202x = 4,777.87 × 2,874.76
  4. Step 4: Simplify right side
    3,202x = 13,735,229.56
  5. Step 5: Solve for x
    x = 13,735,229.56/3,202
  6. Step 6: Final answer
    x = 4,289.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.