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Finding the Fourth Proportional to 3,809.25, 5,257.88 and 2,216.27

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Solution

The fourth proportional to 3,809.25, 5,257.88 and 2,216.27 is: 3,059.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.25 : 5,257.88 = 2,216.27 : x
  2. Step 2: Convert to fraction form
    3,809.25/5,257.88 = 2,216.27/x
  3. Step 3: Cross multiply
    3,809.25x = 5,257.88 × 2,216.27
  4. Step 4: Simplify right side
    3,809.25x = 11,652,881.71
  5. Step 5: Solve for x
    x = 11,652,881.71/3,809.25
  6. Step 6: Final answer
    x = 3,059.10

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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.