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Finding the Fourth Proportional to 4,874.64, 6,726.99 and 2,778.78

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Solution

The fourth proportional to 4,874.64, 6,726.99 and 2,778.78 is: 3,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.64 : 6,726.99 = 2,778.78 : x
  2. Step 2: Convert to fraction form
    4,874.64/6,726.99 = 2,778.78/x
  3. Step 3: Cross multiply
    4,874.64x = 6,726.99 × 2,778.78
  4. Step 4: Simplify right side
    4,874.64x = 18,692,825.27
  5. Step 5: Solve for x
    x = 18,692,825.27/4,874.64
  6. Step 6: Final answer
    x = 3,834.71

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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.