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Finding the Fourth Proportional to 3,496.38, 5,244.56 and 899.31

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Solution

The fourth proportional to 3,496.38, 5,244.56 and 899.31 is: 1,348.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.38 : 5,244.56 = 899.31 : x
  2. Step 2: Convert to fraction form
    3,496.38/5,244.56 = 899.31/x
  3. Step 3: Cross multiply
    3,496.38x = 5,244.56 × 899.31
  4. Step 4: Simplify right side
    3,496.38x = 4,716,485.25
  5. Step 5: Solve for x
    x = 4,716,485.25/3,496.38
  6. Step 6: Final answer
    x = 1,348.96

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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.