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Finding the Fourth Proportional to 3,817.96, 5,728.04 and 1,871.24

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Solution

The fourth proportional to 3,817.96, 5,728.04 and 1,871.24 is: 2,807.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.96 : 5,728.04 = 1,871.24 : x
  2. Step 2: Convert to fraction form
    3,817.96/5,728.04 = 1,871.24/x
  3. Step 3: Cross multiply
    3,817.96x = 5,728.04 × 1,871.24
  4. Step 4: Simplify right side
    3,817.96x = 10,718,537.57
  5. Step 5: Solve for x
    x = 10,718,537.57/3,817.96
  6. Step 6: Final answer
    x = 2,807.40

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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.