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Finding the Fourth Proportional to 5,006.94, 6,909.39 and 3,239.57

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Solution

The fourth proportional to 5,006.94, 6,909.39 and 3,239.57 is: 4,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.94 : 6,909.39 = 3,239.57 : x
  2. Step 2: Convert to fraction form
    5,006.94/6,909.39 = 3,239.57/x
  3. Step 3: Cross multiply
    5,006.94x = 6,909.39 × 3,239.57
  4. Step 4: Simplify right side
    5,006.94x = 22,383,418.02
  5. Step 5: Solve for x
    x = 22,383,418.02/5,006.94
  6. Step 6: Final answer
    x = 4,470.48

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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.