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Finding the Fourth Proportional to 3,755.62, 5,182.75 and 2,263.13

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Solution

The fourth proportional to 3,755.62, 5,182.75 and 2,263.13 is: 3,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.62 : 5,182.75 = 2,263.13 : x
  2. Step 2: Convert to fraction form
    3,755.62/5,182.75 = 2,263.13/x
  3. Step 3: Cross multiply
    3,755.62x = 5,182.75 × 2,263.13
  4. Step 4: Simplify right side
    3,755.62x = 11,729,237.01
  5. Step 5: Solve for x
    x = 11,729,237.01/3,755.62
  6. Step 6: Final answer
    x = 3,123.12

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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.