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Finding the Fourth Proportional to 3,490.34, 5,236.24 and 3,141.80

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Solution

The fourth proportional to 3,490.34, 5,236.24 and 3,141.80 is: 4,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.34 : 5,236.24 = 3,141.80 : x
  2. Step 2: Convert to fraction form
    3,490.34/5,236.24 = 3,141.80/x
  3. Step 3: Cross multiply
    3,490.34x = 5,236.24 × 3,141.80
  4. Step 4: Simplify right side
    3,490.34x = 16,451,218.83
  5. Step 5: Solve for x
    x = 16,451,218.83/3,490.34
  6. Step 6: Final answer
    x = 4,713.36

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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.