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Finding the Fourth Proportional to 3,471.27, 5,203.26 and 1,278.60

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Solution

The fourth proportional to 3,471.27, 5,203.26 and 1,278.60 is: 1,916.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.27 : 5,203.26 = 1,278.60 : x
  2. Step 2: Convert to fraction form
    3,471.27/5,203.26 = 1,278.60/x
  3. Step 3: Cross multiply
    3,471.27x = 5,203.26 × 1,278.60
  4. Step 4: Simplify right side
    3,471.27x = 6,652,888.24
  5. Step 5: Solve for x
    x = 6,652,888.24/3,471.27
  6. Step 6: Final answer
    x = 1,916.56

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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.