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Finding the Fourth Proportional to 5,274.88, 7,908.64 and 3,195.42

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Solution

The fourth proportional to 5,274.88, 7,908.64 and 3,195.42 is: 4,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.88 : 7,908.64 = 3,195.42 : x
  2. Step 2: Convert to fraction form
    5,274.88/7,908.64 = 3,195.42/x
  3. Step 3: Cross multiply
    5,274.88x = 7,908.64 × 3,195.42
  4. Step 4: Simplify right side
    5,274.88x = 25,271,426.43
  5. Step 5: Solve for x
    x = 25,271,426.43/5,274.88
  6. Step 6: Final answer
    x = 4,790.90

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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.