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Finding the Fourth Proportional to 3,928.14, 5,892.21 and 1,463.58

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Solution

The fourth proportional to 3,928.14, 5,892.21 and 1,463.58 is: 2,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.14 : 5,892.21 = 1,463.58 : x
  2. Step 2: Convert to fraction form
    3,928.14/5,892.21 = 1,463.58/x
  3. Step 3: Cross multiply
    3,928.14x = 5,892.21 × 1,463.58
  4. Step 4: Simplify right side
    3,928.14x = 8,623,720.71
  5. Step 5: Solve for x
    x = 8,623,720.71/3,928.14
  6. Step 6: Final answer
    x = 2,195.37

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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.