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Finding the Fourth Proportional to 3,713.94, 5,125.24 and 2,142.03

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Solution

The fourth proportional to 3,713.94, 5,125.24 and 2,142.03 is: 2,956.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.94 : 5,125.24 = 2,142.03 : x
  2. Step 2: Convert to fraction form
    3,713.94/5,125.24 = 2,142.03/x
  3. Step 3: Cross multiply
    3,713.94x = 5,125.24 × 2,142.03
  4. Step 4: Simplify right side
    3,713.94x = 10,978,419.94
  5. Step 5: Solve for x
    x = 10,978,419.94/3,713.94
  6. Step 6: Final answer
    x = 2,956.01

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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.