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Finding the Fourth Proportional to 3,787.88, 5,223 and 2,668.44

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Solution

The fourth proportional to 3,787.88, 5,223 and 2,668.44 is: 3,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.88 : 5,223 = 2,668.44 : x
  2. Step 2: Convert to fraction form
    3,787.88/5,223 = 2,668.44/x
  3. Step 3: Cross multiply
    3,787.88x = 5,223 × 2,668.44
  4. Step 4: Simplify right side
    3,787.88x = 13,937,262.12
  5. Step 5: Solve for x
    x = 13,937,262.12/3,787.88
  6. Step 6: Final answer
    x = 3,679.44

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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.