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Finding the Fourth Proportional to 3,874.28, 5,808.15 and 1,681.36

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Solution

The fourth proportional to 3,874.28, 5,808.15 and 1,681.36 is: 2,520.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.28 : 5,808.15 = 1,681.36 : x
  2. Step 2: Convert to fraction form
    3,874.28/5,808.15 = 1,681.36/x
  3. Step 3: Cross multiply
    3,874.28x = 5,808.15 × 1,681.36
  4. Step 4: Simplify right side
    3,874.28x = 9,765,591.08
  5. Step 5: Solve for x
    x = 9,765,591.08/3,874.28
  6. Step 6: Final answer
    x = 2,520.62

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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.