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Finding the Fourth Proportional to 3,871.14, 5,805.27 and 1,405.23

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Solution

The fourth proportional to 3,871.14, 5,805.27 and 1,405.23 is: 2,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.14 : 5,805.27 = 1,405.23 : x
  2. Step 2: Convert to fraction form
    3,871.14/5,805.27 = 1,405.23/x
  3. Step 3: Cross multiply
    3,871.14x = 5,805.27 × 1,405.23
  4. Step 4: Simplify right side
    3,871.14x = 8,157,739.56
  5. Step 5: Solve for x
    x = 8,157,739.56/3,871.14
  6. Step 6: Final answer
    x = 2,107.32

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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.