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Finding the Fourth Proportional to 3,522.05, 5,278.65 and 3,082.25

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Solution

The fourth proportional to 3,522.05, 5,278.65 and 3,082.25 is: 4,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.05 : 5,278.65 = 3,082.25 : x
  2. Step 2: Convert to fraction form
    3,522.05/5,278.65 = 3,082.25/x
  3. Step 3: Cross multiply
    3,522.05x = 5,278.65 × 3,082.25
  4. Step 4: Simplify right side
    3,522.05x = 16,270,118.96
  5. Step 5: Solve for x
    x = 16,270,118.96/3,522.05
  6. Step 6: Final answer
    x = 4,619.50

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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.