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Finding the Fourth Proportional to 4,909.78, 6,776.41 and 2,813.91

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Solution

The fourth proportional to 4,909.78, 6,776.41 and 2,813.91 is: 3,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.78 : 6,776.41 = 2,813.91 : x
  2. Step 2: Convert to fraction form
    4,909.78/6,776.41 = 2,813.91/x
  3. Step 3: Cross multiply
    4,909.78x = 6,776.41 × 2,813.91
  4. Step 4: Simplify right side
    4,909.78x = 19,068,180.69
  5. Step 5: Solve for x
    x = 19,068,180.69/4,909.78
  6. Step 6: Final answer
    x = 3,883.71

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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.