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Finding the Fourth Proportional to 3,755.76, 5,178.36 and 2,338.96

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Solution

The fourth proportional to 3,755.76, 5,178.36 and 2,338.96 is: 3,224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.76 : 5,178.36 = 2,338.96 : x
  2. Step 2: Convert to fraction form
    3,755.76/5,178.36 = 2,338.96/x
  3. Step 3: Cross multiply
    3,755.76x = 5,178.36 × 2,338.96
  4. Step 4: Simplify right side
    3,755.76x = 12,111,976.91
  5. Step 5: Solve for x
    x = 12,111,976.91/3,755.76
  6. Step 6: Final answer
    x = 3,224.91

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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.