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Finding the Fourth Proportional to 4,509.53, 6,223.26 and 2,831

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Solution

The fourth proportional to 4,509.53, 6,223.26 and 2,831 is: 3,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.53 : 6,223.26 = 2,831 : x
  2. Step 2: Convert to fraction form
    4,509.53/6,223.26 = 2,831/x
  3. Step 3: Cross multiply
    4,509.53x = 6,223.26 × 2,831
  4. Step 4: Simplify right side
    4,509.53x = 17,618,049.06
  5. Step 5: Solve for x
    x = 17,618,049.06/4,509.53
  6. Step 6: Final answer
    x = 3,906.85

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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.