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Finding the Fourth Proportional to 5,134.36, 7,082.22 and 3,037

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Solution

The fourth proportional to 5,134.36, 7,082.22 and 3,037 is: 4,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.36 : 7,082.22 = 3,037 : x
  2. Step 2: Convert to fraction form
    5,134.36/7,082.22 = 3,037/x
  3. Step 3: Cross multiply
    5,134.36x = 7,082.22 × 3,037
  4. Step 4: Simplify right side
    5,134.36x = 21,508,702.14
  5. Step 5: Solve for x
    x = 21,508,702.14/5,134.36
  6. Step 6: Final answer
    x = 4,189.17

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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.