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Finding the Fourth Proportional to 3,743.88, 5,612.41 and 2,353

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Solution

The fourth proportional to 3,743.88, 5,612.41 and 2,353 is: 3,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,743.88 : 5,612.41 = 2,353 : x
  2. Step 2: Convert to fraction form
    3,743.88/5,612.41 = 2,353/x
  3. Step 3: Cross multiply
    3,743.88x = 5,612.41 × 2,353
  4. Step 4: Simplify right side
    3,743.88x = 13,206,000.73
  5. Step 5: Solve for x
    x = 13,206,000.73/3,743.88
  6. Step 6: Final answer
    x = 3,527.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.