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Finding the Fourth Proportional to 4,778.73, 7,166.93 and 2,005.43

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Solution

The fourth proportional to 4,778.73, 7,166.93 and 2,005.43 is: 3,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.73 : 7,166.93 = 2,005.43 : x
  2. Step 2: Convert to fraction form
    4,778.73/7,166.93 = 2,005.43/x
  3. Step 3: Cross multiply
    4,778.73x = 7,166.93 × 2,005.43
  4. Step 4: Simplify right side
    4,778.73x = 14,372,730.57
  5. Step 5: Solve for x
    x = 14,372,730.57/4,778.73
  6. Step 6: Final answer
    x = 3,007.65

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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.