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Finding the Fourth Proportional to 5,274.18, 7,908.62 and 1,762.97

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Solution

The fourth proportional to 5,274.18, 7,908.62 and 1,762.97 is: 2,643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.18 : 7,908.62 = 1,762.97 : x
  2. Step 2: Convert to fraction form
    5,274.18/7,908.62 = 1,762.97/x
  3. Step 3: Cross multiply
    5,274.18x = 7,908.62 × 1,762.97
  4. Step 4: Simplify right side
    5,274.18x = 13,942,611.44
  5. Step 5: Solve for x
    x = 13,942,611.44/5,274.18
  6. Step 6: Final answer
    x = 2,643.56

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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.