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Finding the Fourth Proportional to 3,504.33, 5,252.45 and 1,311.66

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Solution

The fourth proportional to 3,504.33, 5,252.45 and 1,311.66 is: 1,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.33 : 5,252.45 = 1,311.66 : x
  2. Step 2: Convert to fraction form
    3,504.33/5,252.45 = 1,311.66/x
  3. Step 3: Cross multiply
    3,504.33x = 5,252.45 × 1,311.66
  4. Step 4: Simplify right side
    3,504.33x = 6,889,422.01
  5. Step 5: Solve for x
    x = 6,889,422.01/3,504.33
  6. Step 6: Final answer
    x = 1,965.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.