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Finding the Fourth Proportional to 3,841.92, 5,296.32 and 2,736

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Solution

The fourth proportional to 3,841.92, 5,296.32 and 2,736 is: 3,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.92 : 5,296.32 = 2,736 : x
  2. Step 2: Convert to fraction form
    3,841.92/5,296.32 = 2,736/x
  3. Step 3: Cross multiply
    3,841.92x = 5,296.32 × 2,736
  4. Step 4: Simplify right side
    3,841.92x = 14,490,731.52
  5. Step 5: Solve for x
    x = 14,490,731.52/3,841.92
  6. Step 6: Final answer
    x = 3,771.74

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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.