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Finding the Fourth Proportional to 4,713.30, 7,067.05 and 1,593

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Solution

The fourth proportional to 4,713.30, 7,067.05 and 1,593 is: 2,388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.30 : 7,067.05 = 1,593 : x
  2. Step 2: Convert to fraction form
    4,713.30/7,067.05 = 1,593/x
  3. Step 3: Cross multiply
    4,713.30x = 7,067.05 × 1,593
  4. Step 4: Simplify right side
    4,713.30x = 11,257,806.67
  5. Step 5: Solve for x
    x = 11,257,806.67/4,713.30
  6. Step 6: Final answer
    x = 2,388.52

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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.