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Finding the Fourth Proportional to 3,614.92, 5,422.62 and 1,274.64

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Solution

The fourth proportional to 3,614.92, 5,422.62 and 1,274.64 is: 1,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.92 : 5,422.62 = 1,274.64 : x
  2. Step 2: Convert to fraction form
    3,614.92/5,422.62 = 1,274.64/x
  3. Step 3: Cross multiply
    3,614.92x = 5,422.62 × 1,274.64
  4. Step 4: Simplify right side
    3,614.92x = 6,911,888.36
  5. Step 5: Solve for x
    x = 6,911,888.36/3,614.92
  6. Step 6: Final answer
    x = 1,912.04

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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.