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Finding the Fourth Proportional to 4,879.38, 6,734.34 and 3,628.74

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Solution

The fourth proportional to 4,879.38, 6,734.34 and 3,628.74 is: 5,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879.38 : 6,734.34 = 3,628.74 : x
  2. Step 2: Convert to fraction form
    4,879.38/6,734.34 = 3,628.74/x
  3. Step 3: Cross multiply
    4,879.38x = 6,734.34 × 3,628.74
  4. Step 4: Simplify right side
    4,879.38x = 24,437,168.93
  5. Step 5: Solve for x
    x = 24,437,168.93/4,879.38
  6. Step 6: Final answer
    x = 5,008.25

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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.