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Finding the Fourth Proportional to 4,540.86, 6,266.72 and 2,772.80

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Solution

The fourth proportional to 4,540.86, 6,266.72 and 2,772.80 is: 3,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,540.86 : 6,266.72 = 2,772.80 : x
  2. Step 2: Convert to fraction form
    4,540.86/6,266.72 = 2,772.80/x
  3. Step 3: Cross multiply
    4,540.86x = 6,266.72 × 2,772.80
  4. Step 4: Simplify right side
    4,540.86x = 17,376,344.72
  5. Step 5: Solve for x
    x = 17,376,344.72/4,540.86
  6. Step 6: Final answer
    x = 3,826.66

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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.