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Finding the Fourth Proportional to 5,778.36, 7,976.16 and 3,682.08

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Solution

The fourth proportional to 5,778.36, 7,976.16 and 3,682.08 is: 5,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.36 : 7,976.16 = 3,682.08 : x
  2. Step 2: Convert to fraction form
    5,778.36/7,976.16 = 3,682.08/x
  3. Step 3: Cross multiply
    5,778.36x = 7,976.16 × 3,682.08
  4. Step 4: Simplify right side
    5,778.36x = 29,368,859.21
  5. Step 5: Solve for x
    x = 29,368,859.21/5,778.36
  6. Step 6: Final answer
    x = 5,082.56

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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.