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Finding the Fourth Proportional to 4,225, 6,340.06 and 1,793

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Solution

The fourth proportional to 4,225, 6,340.06 and 1,793 is: 2,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225 : 6,340.06 = 1,793 : x
  2. Step 2: Convert to fraction form
    4,225/6,340.06 = 1,793/x
  3. Step 3: Cross multiply
    4,225x = 6,340.06 × 1,793
  4. Step 4: Simplify right side
    4,225x = 11,367,727.58
  5. Step 5: Solve for x
    x = 11,367,727.58/4,225
  6. Step 6: Final answer
    x = 2,690.59

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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.