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Finding the Fourth Proportional to 4,640.38, 6,403.74 and 2,777.38

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Solution

The fourth proportional to 4,640.38, 6,403.74 and 2,777.38 is: 3,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.38 : 6,403.74 = 2,777.38 : x
  2. Step 2: Convert to fraction form
    4,640.38/6,403.74 = 2,777.38/x
  3. Step 3: Cross multiply
    4,640.38x = 6,403.74 × 2,777.38
  4. Step 4: Simplify right side
    4,640.38x = 17,785,619.40
  5. Step 5: Solve for x
    x = 17,785,619.40/4,640.38
  6. Step 6: Final answer
    x = 3,832.79

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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.