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Finding the Fourth Proportional to 3,892.40, 5,835.68 and 1,838

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Solution

The fourth proportional to 3,892.40, 5,835.68 and 1,838 is: 2,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.40 : 5,835.68 = 1,838 : x
  2. Step 2: Convert to fraction form
    3,892.40/5,835.68 = 1,838/x
  3. Step 3: Cross multiply
    3,892.40x = 5,835.68 × 1,838
  4. Step 4: Simplify right side
    3,892.40x = 10,725,979.84
  5. Step 5: Solve for x
    x = 10,725,979.84/3,892.40
  6. Step 6: Final answer
    x = 2,755.62

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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.