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Finding the Fourth Proportional to 4,539.14, 6,777.63 and 4,067.57

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Solution

The fourth proportional to 4,539.14, 6,777.63 and 4,067.57 is: 6,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,539.14 : 6,777.63 = 4,067.57 : x
  2. Step 2: Convert to fraction form
    4,539.14/6,777.63 = 4,067.57/x
  3. Step 3: Cross multiply
    4,539.14x = 6,777.63 × 4,067.57
  4. Step 4: Simplify right side
    4,539.14x = 27,568,484.46
  5. Step 5: Solve for x
    x = 27,568,484.46/4,539.14
  6. Step 6: Final answer
    x = 6,073.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.