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Finding the Fourth Proportional to 5,965.92, 8,950.34 and 4,214.34

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Solution

The fourth proportional to 5,965.92, 8,950.34 and 4,214.34 is: 6,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.92 : 8,950.34 = 4,214.34 : x
  2. Step 2: Convert to fraction form
    5,965.92/8,950.34 = 4,214.34/x
  3. Step 3: Cross multiply
    5,965.92x = 8,950.34 × 4,214.34
  4. Step 4: Simplify right side
    5,965.92x = 37,719,754.80
  5. Step 5: Solve for x
    x = 37,719,754.80/5,965.92
  6. Step 6: Final answer
    x = 6,322.54

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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.