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Finding the Fourth Proportional to 5,388.25, 8,082.57 and 1,690.39

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Solution

The fourth proportional to 5,388.25, 8,082.57 and 1,690.39 is: 2,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.25 : 8,082.57 = 1,690.39 : x
  2. Step 2: Convert to fraction form
    5,388.25/8,082.57 = 1,690.39/x
  3. Step 3: Cross multiply
    5,388.25x = 8,082.57 × 1,690.39
  4. Step 4: Simplify right side
    5,388.25x = 13,662,695.50
  5. Step 5: Solve for x
    x = 13,662,695.50/5,388.25
  6. Step 6: Final answer
    x = 2,535.65

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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.