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Finding the Fourth Proportional to 4,934, 6,809.28 and 2,838.62

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Solution

The fourth proportional to 4,934, 6,809.28 and 2,838.62 is: 3,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934 : 6,809.28 = 2,838.62 : x
  2. Step 2: Convert to fraction form
    4,934/6,809.28 = 2,838.62/x
  3. Step 3: Cross multiply
    4,934x = 6,809.28 × 2,838.62
  4. Step 4: Simplify right side
    4,934x = 19,328,958.39
  5. Step 5: Solve for x
    x = 19,328,958.39/4,934
  6. Step 6: Final answer
    x = 3,917.50

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