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Finding the Fourth Proportional to 5,388.50, 8,082.21 and 1,690.76

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Solution

The fourth proportional to 5,388.50, 8,082.21 and 1,690.76 is: 2,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.50 : 8,082.21 = 1,690.76 : x
  2. Step 2: Convert to fraction form
    5,388.50/8,082.21 = 1,690.76/x
  3. Step 3: Cross multiply
    5,388.50x = 8,082.21 × 1,690.76
  4. Step 4: Simplify right side
    5,388.50x = 13,665,077.38
  5. Step 5: Solve for x
    x = 13,665,077.38/5,388.50
  6. Step 6: Final answer
    x = 2,535.97

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Why These Related Problems?

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