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Finding the Fourth Proportional to 5,467.56, 7,508.76 and 5,082.12

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Solution

The fourth proportional to 5,467.56, 7,508.76 and 5,082.12 is: 6,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,467.56 : 7,508.76 = 5,082.12 : x
  2. Step 2: Convert to fraction form
    5,467.56/7,508.76 = 5,082.12/x
  3. Step 3: Cross multiply
    5,467.56x = 7,508.76 × 5,082.12
  4. Step 4: Simplify right side
    5,467.56x = 38,160,419.37
  5. Step 5: Solve for x
    x = 38,160,419.37/5,467.56
  6. Step 6: Final answer
    x = 6,979.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.