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Finding the Fourth Proportional to 3,757.88, 5,188.42 and 2,342.14

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Solution

The fourth proportional to 3,757.88, 5,188.42 and 2,342.14 is: 3,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.88 : 5,188.42 = 2,342.14 : x
  2. Step 2: Convert to fraction form
    3,757.88/5,188.42 = 2,342.14/x
  3. Step 3: Cross multiply
    3,757.88x = 5,188.42 × 2,342.14
  4. Step 4: Simplify right side
    3,757.88x = 12,152,006.02
  5. Step 5: Solve for x
    x = 12,152,006.02/3,757.88
  6. Step 6: Final answer
    x = 3,233.74

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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.