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Finding the Fourth Proportional to 3,475.50, 5,216.77 and 3,082.76

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Solution

The fourth proportional to 3,475.50, 5,216.77 and 3,082.76 is: 4,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.50 : 5,216.77 = 3,082.76 : x
  2. Step 2: Convert to fraction form
    3,475.50/5,216.77 = 3,082.76/x
  3. Step 3: Cross multiply
    3,475.50x = 5,216.77 × 3,082.76
  4. Step 4: Simplify right side
    3,475.50x = 16,082,049.89
  5. Step 5: Solve for x
    x = 16,082,049.89/3,475.50
  6. Step 6: Final answer
    x = 4,627.26

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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.