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Finding the Fourth Proportional to 3,809.31, 5,256 and 2,411.25

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Solution

The fourth proportional to 3,809.31, 5,256 and 2,411.25 is: 3,326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.31 : 5,256 = 2,411.25 : x
  2. Step 2: Convert to fraction form
    3,809.31/5,256 = 2,411.25/x
  3. Step 3: Cross multiply
    3,809.31x = 5,256 × 2,411.25
  4. Step 4: Simplify right side
    3,809.31x = 12,673,530
  5. Step 5: Solve for x
    x = 12,673,530/3,809.31
  6. Step 6: Final answer
    x = 3,326.99

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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.