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Finding the Fourth Proportional to 4,713.79, 7,067.77 and 1,593.50

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Solution

The fourth proportional to 4,713.79, 7,067.77 and 1,593.50 is: 2,389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.79 : 7,067.77 = 1,593.50 : x
  2. Step 2: Convert to fraction form
    4,713.79/7,067.77 = 1,593.50/x
  3. Step 3: Cross multiply
    4,713.79x = 7,067.77 × 1,593.50
  4. Step 4: Simplify right side
    4,713.79x = 11,262,479.80
  5. Step 5: Solve for x
    x = 11,262,479.80/4,713.79
  6. Step 6: Final answer
    x = 2,389.26

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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.