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Finding the Fourth Proportional to 4,816.32, 6,651.36 and 4,149.42

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Solution

The fourth proportional to 4,816.32, 6,651.36 and 4,149.42 is: 5,730.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.32 : 6,651.36 = 4,149.42 : x
  2. Step 2: Convert to fraction form
    4,816.32/6,651.36 = 4,149.42/x
  3. Step 3: Cross multiply
    4,816.32x = 6,651.36 × 4,149.42
  4. Step 4: Simplify right side
    4,816.32x = 27,599,286.21
  5. Step 5: Solve for x
    x = 27,599,286.21/4,816.32
  6. Step 6: Final answer
    x = 5,730.37

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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.