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Finding the Fourth Proportional to 2,773.16, 3,827.52 and 2,551.76

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Solution

The fourth proportional to 2,773.16, 3,827.52 and 2,551.76 is: 3,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.16 : 3,827.52 = 2,551.76 : x
  2. Step 2: Convert to fraction form
    2,773.16/3,827.52 = 2,551.76/x
  3. Step 3: Cross multiply
    2,773.16x = 3,827.52 × 2,551.76
  4. Step 4: Simplify right side
    2,773.16x = 9,766,912.44
  5. Step 5: Solve for x
    x = 9,766,912.44/2,773.16
  6. Step 6: Final answer
    x = 3,521.94

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Why These Related Problems?

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