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Finding the Fourth Proportional to 3,823.70, 5,275.41 and 2,427.26

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Solution

The fourth proportional to 3,823.70, 5,275.41 and 2,427.26 is: 3,348.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.70 : 5,275.41 = 2,427.26 : x
  2. Step 2: Convert to fraction form
    3,823.70/5,275.41 = 2,427.26/x
  3. Step 3: Cross multiply
    3,823.70x = 5,275.41 × 2,427.26
  4. Step 4: Simplify right side
    3,823.70x = 12,804,791.68
  5. Step 5: Solve for x
    x = 12,804,791.68/3,823.70
  6. Step 6: Final answer
    x = 3,348.80

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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.