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Finding the Fourth Proportional to 5,734.74, 8,601.30 and 1,838.64

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Solution

The fourth proportional to 5,734.74, 8,601.30 and 1,838.64 is: 2,757.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.74 : 8,601.30 = 1,838.64 : x
  2. Step 2: Convert to fraction form
    5,734.74/8,601.30 = 1,838.64/x
  3. Step 3: Cross multiply
    5,734.74x = 8,601.30 × 1,838.64
  4. Step 4: Simplify right side
    5,734.74x = 15,814,694.23
  5. Step 5: Solve for x
    x = 15,814,694.23/5,734.74
  6. Step 6: Final answer
    x = 2,757.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.