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Finding the Fourth Proportional to 6,188.39, 8,539.97 and 3,535.74

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Solution

The fourth proportional to 6,188.39, 8,539.97 and 3,535.74 is: 4,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.39 : 8,539.97 = 3,535.74 : x
  2. Step 2: Convert to fraction form
    6,188.39/8,539.97 = 3,535.74/x
  3. Step 3: Cross multiply
    6,188.39x = 8,539.97 × 3,535.74
  4. Step 4: Simplify right side
    6,188.39x = 30,195,095.85
  5. Step 5: Solve for x
    x = 30,195,095.85/6,188.39
  6. Step 6: Final answer
    x = 4,879.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.