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Finding the Fourth Proportional to 4,635.69, 6,951.69 and 2,689.26

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Solution

The fourth proportional to 4,635.69, 6,951.69 and 2,689.26 is: 4,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,635.69 : 6,951.69 = 2,689.26 : x
  2. Step 2: Convert to fraction form
    4,635.69/6,951.69 = 2,689.26/x
  3. Step 3: Cross multiply
    4,635.69x = 6,951.69 × 2,689.26
  4. Step 4: Simplify right side
    4,635.69x = 18,694,901.85
  5. Step 5: Solve for x
    x = 18,694,901.85/4,635.69
  6. Step 6: Final answer
    x = 4,032.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.