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Finding the Fourth Proportional to 3,496.30, 5,244.43 and 899.23

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Solution

The fourth proportional to 3,496.30, 5,244.43 and 899.23 is: 1,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.30 : 5,244.43 = 899.23 : x
  2. Step 2: Convert to fraction form
    3,496.30/5,244.43 = 899.23/x
  3. Step 3: Cross multiply
    3,496.30x = 5,244.43 × 899.23
  4. Step 4: Simplify right side
    3,496.30x = 4,715,948.79
  5. Step 5: Solve for x
    x = 4,715,948.79/3,496.30
  6. Step 6: Final answer
    x = 1,348.84

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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.