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Finding the Fourth Proportional to 3,892.33, 5,837.25 and 1,259.28

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Solution

The fourth proportional to 3,892.33, 5,837.25 and 1,259.28 is: 1,888.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.33 : 5,837.25 = 1,259.28 : x
  2. Step 2: Convert to fraction form
    3,892.33/5,837.25 = 1,259.28/x
  3. Step 3: Cross multiply
    3,892.33x = 5,837.25 × 1,259.28
  4. Step 4: Simplify right side
    3,892.33x = 7,350,736.90
  5. Step 5: Solve for x
    x = 7,350,736.90/3,892.33
  6. Step 6: Final answer
    x = 1,888.52

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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.