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Finding the Fourth Proportional to 5,388.31, 8,082.48 and 1,690.22

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Solution

The fourth proportional to 5,388.31, 8,082.48 and 1,690.22 is: 2,535.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.31 : 8,082.48 = 1,690.22 : x
  2. Step 2: Convert to fraction form
    5,388.31/8,082.48 = 1,690.22/x
  3. Step 3: Cross multiply
    5,388.31x = 8,082.48 × 1,690.22
  4. Step 4: Simplify right side
    5,388.31x = 13,661,169.35
  5. Step 5: Solve for x
    x = 13,661,169.35/5,388.31
  6. Step 6: Final answer
    x = 2,535.33

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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.