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Finding the Fourth Proportional to 3,892.26, 5,840.70 and 1,553.40

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Solution

The fourth proportional to 3,892.26, 5,840.70 and 1,553.40 is: 2,331.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.26 : 5,840.70 = 1,553.40 : x
  2. Step 2: Convert to fraction form
    3,892.26/5,840.70 = 1,553.40/x
  3. Step 3: Cross multiply
    3,892.26x = 5,840.70 × 1,553.40
  4. Step 4: Simplify right side
    3,892.26x = 9,072,943.38
  5. Step 5: Solve for x
    x = 9,072,943.38/3,892.26
  6. Step 6: Final answer
    x = 2,331.02

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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.