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Finding the Fourth Proportional to 3,608.92, 4,977.20 and 2,349.50

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Solution

The fourth proportional to 3,608.92, 4,977.20 and 2,349.50 is: 3,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.92 : 4,977.20 = 2,349.50 : x
  2. Step 2: Convert to fraction form
    3,608.92/4,977.20 = 2,349.50/x
  3. Step 3: Cross multiply
    3,608.92x = 4,977.20 × 2,349.50
  4. Step 4: Simplify right side
    3,608.92x = 11,693,919.65
  5. Step 5: Solve for x
    x = 11,693,919.65/3,608.92
  6. Step 6: Final answer
    x = 3,240.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.