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Finding the Fourth Proportional to 5,958.25, 8,944.39 and 3,494.95

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Solution

The fourth proportional to 5,958.25, 8,944.39 and 3,494.95 is: 5,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.25 : 8,944.39 = 3,494.95 : x
  2. Step 2: Convert to fraction form
    5,958.25/8,944.39 = 3,494.95/x
  3. Step 3: Cross multiply
    5,958.25x = 8,944.39 × 3,494.95
  4. Step 4: Simplify right side
    5,958.25x = 31,260,195.83
  5. Step 5: Solve for x
    x = 31,260,195.83/5,958.25
  6. Step 6: Final answer
    x = 5,246.54

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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.