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Finding the Fourth Proportional to 3,889.08, 5,832.24 and 1,256.48

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Solution

The fourth proportional to 3,889.08, 5,832.24 and 1,256.48 is: 1,884.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.08 : 5,832.24 = 1,256.48 : x
  2. Step 2: Convert to fraction form
    3,889.08/5,832.24 = 1,256.48/x
  3. Step 3: Cross multiply
    3,889.08x = 5,832.24 × 1,256.48
  4. Step 4: Simplify right side
    3,889.08x = 7,328,092.92
  5. Step 5: Solve for x
    x = 7,328,092.92/3,889.08
  6. Step 6: Final answer
    x = 1,884.27

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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.