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Finding the Fourth Proportional to 3,892.08, 5,837.36 and 1,783.25

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Solution

The fourth proportional to 3,892.08, 5,837.36 and 1,783.25 is: 2,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.08 : 5,837.36 = 1,783.25 : x
  2. Step 2: Convert to fraction form
    3,892.08/5,837.36 = 1,783.25/x
  3. Step 3: Cross multiply
    3,892.08x = 5,837.36 × 1,783.25
  4. Step 4: Simplify right side
    3,892.08x = 10,409,434.12
  5. Step 5: Solve for x
    x = 10,409,434.12/3,892.08
  6. Step 6: Final answer
    x = 2,674.52

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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.