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Finding the Fourth Proportional to 3,871.52, 5,808.32 and 1,274.56

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Solution

The fourth proportional to 3,871.52, 5,808.32 and 1,274.56 is: 1,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.52 : 5,808.32 = 1,274.56 : x
  2. Step 2: Convert to fraction form
    3,871.52/5,808.32 = 1,274.56/x
  3. Step 3: Cross multiply
    3,871.52x = 5,808.32 × 1,274.56
  4. Step 4: Simplify right side
    3,871.52x = 7,403,052.34
  5. Step 5: Solve for x
    x = 7,403,052.34/3,871.52
  6. Step 6: Final answer
    x = 1,912.18

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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.