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Finding the Fourth Proportional to 4,922.70, 7,384.05 and 2,849.10

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Solution

The fourth proportional to 4,922.70, 7,384.05 and 2,849.10 is: 4,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.70 : 7,384.05 = 2,849.10 : x
  2. Step 2: Convert to fraction form
    4,922.70/7,384.05 = 2,849.10/x
  3. Step 3: Cross multiply
    4,922.70x = 7,384.05 × 2,849.10
  4. Step 4: Simplify right side
    4,922.70x = 21,037,896.86
  5. Step 5: Solve for x
    x = 21,037,896.86/4,922.70
  6. Step 6: Final answer
    x = 4,273.65

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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.