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Finding the Fourth Proportional to 4,348.69, 6,517.68 and 2,005.44

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Solution

The fourth proportional to 4,348.69, 6,517.68 and 2,005.44 is: 3,005.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.69 : 6,517.68 = 2,005.44 : x
  2. Step 2: Convert to fraction form
    4,348.69/6,517.68 = 2,005.44/x
  3. Step 3: Cross multiply
    4,348.69x = 6,517.68 × 2,005.44
  4. Step 4: Simplify right side
    4,348.69x = 13,070,813.83
  5. Step 5: Solve for x
    x = 13,070,813.83/4,348.69
  6. Step 6: Final answer
    x = 3,005.69

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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.