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Finding the Fourth Proportional to 3,892.56, 5,837.56 and 1,551.60

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Solution

The fourth proportional to 3,892.56, 5,837.56 and 1,551.60 is: 2,326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.56 : 5,837.56 = 1,551.60 : x
  2. Step 2: Convert to fraction form
    3,892.56/5,837.56 = 1,551.60/x
  3. Step 3: Cross multiply
    3,892.56x = 5,837.56 × 1,551.60
  4. Step 4: Simplify right side
    3,892.56x = 9,057,558.10
  5. Step 5: Solve for x
    x = 9,057,558.10/3,892.56
  6. Step 6: Final answer
    x = 2,326.89

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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.