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Finding the Fourth Proportional to 3,082.72, 4,593.08 and 2,884

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Solution

The fourth proportional to 3,082.72, 4,593.08 and 2,884 is: 4,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.72 : 4,593.08 = 2,884 : x
  2. Step 2: Convert to fraction form
    3,082.72/4,593.08 = 2,884/x
  3. Step 3: Cross multiply
    3,082.72x = 4,593.08 × 2,884
  4. Step 4: Simplify right side
    3,082.72x = 13,246,442.72
  5. Step 5: Solve for x
    x = 13,246,442.72/3,082.72
  6. Step 6: Final answer
    x = 4,297.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.