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Finding the Fourth Proportional to 4,874.26, 6,726.64 and 2,778.26

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Solution

The fourth proportional to 4,874.26, 6,726.64 and 2,778.26 is: 3,834.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.26 : 6,726.64 = 2,778.26 : x
  2. Step 2: Convert to fraction form
    4,874.26/6,726.64 = 2,778.26/x
  3. Step 3: Cross multiply
    4,874.26x = 6,726.64 × 2,778.26
  4. Step 4: Simplify right side
    4,874.26x = 18,688,354.85
  5. Step 5: Solve for x
    x = 18,688,354.85/4,874.26
  6. Step 6: Final answer
    x = 3,834.09

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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.