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Finding the Fourth Proportional to 5,082.38, 7,014.03 and 2,844.11

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Solution

The fourth proportional to 5,082.38, 7,014.03 and 2,844.11 is: 3,925.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.38 : 7,014.03 = 2,844.11 : x
  2. Step 2: Convert to fraction form
    5,082.38/7,014.03 = 2,844.11/x
  3. Step 3: Cross multiply
    5,082.38x = 7,014.03 × 2,844.11
  4. Step 4: Simplify right side
    5,082.38x = 19,948,679.73
  5. Step 5: Solve for x
    x = 19,948,679.73/5,082.38
  6. Step 6: Final answer
    x = 3,925.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.