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Finding the Fourth Proportional to 6,336.82, 8,744.82 and 3,542.32

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Solution

The fourth proportional to 6,336.82, 8,744.82 and 3,542.32 is: 4,888.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.82 : 8,744.82 = 3,542.32 : x
  2. Step 2: Convert to fraction form
    6,336.82/8,744.82 = 3,542.32/x
  3. Step 3: Cross multiply
    6,336.82x = 8,744.82 × 3,542.32
  4. Step 4: Simplify right side
    6,336.82x = 30,976,950.78
  5. Step 5: Solve for x
    x = 30,976,950.78/6,336.82
  6. Step 6: Final answer
    x = 4,888.41

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