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Finding the Fourth Proportional to 3,940.92, 5,904.72 and 2,781

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Solution

The fourth proportional to 3,940.92, 5,904.72 and 2,781 is: 4,166.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.92 : 5,904.72 = 2,781 : x
  2. Step 2: Convert to fraction form
    3,940.92/5,904.72 = 2,781/x
  3. Step 3: Cross multiply
    3,940.92x = 5,904.72 × 2,781
  4. Step 4: Simplify right side
    3,940.92x = 16,421,026.32
  5. Step 5: Solve for x
    x = 16,421,026.32/3,940.92
  6. Step 6: Final answer
    x = 4,166.80

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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.