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Finding the Fourth Proportional to 4,142.03, 5,713.10 and 2,813.43

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Solution

The fourth proportional to 4,142.03, 5,713.10 and 2,813.43 is: 3,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.03 : 5,713.10 = 2,813.43 : x
  2. Step 2: Convert to fraction form
    4,142.03/5,713.10 = 2,813.43/x
  3. Step 3: Cross multiply
    4,142.03x = 5,713.10 × 2,813.43
  4. Step 4: Simplify right side
    4,142.03x = 16,073,406.93
  5. Step 5: Solve for x
    x = 16,073,406.93/4,142.03
  6. Step 6: Final answer
    x = 3,880.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.