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Finding the Fourth Proportional to 3,206.53, 4,425.17 and 1,809.25

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Solution

The fourth proportional to 3,206.53, 4,425.17 and 1,809.25 is: 2,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.53 : 4,425.17 = 1,809.25 : x
  2. Step 2: Convert to fraction form
    3,206.53/4,425.17 = 1,809.25/x
  3. Step 3: Cross multiply
    3,206.53x = 4,425.17 × 1,809.25
  4. Step 4: Simplify right side
    3,206.53x = 8,006,238.82
  5. Step 5: Solve for x
    x = 8,006,238.82/3,206.53
  6. Step 6: Final answer
    x = 2,496.85

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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.