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Finding the Fourth Proportional to 4,644, 6,957.36 and 4,453.92

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Solution

The fourth proportional to 4,644, 6,957.36 and 4,453.92 is: 6,672.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644 : 6,957.36 = 4,453.92 : x
  2. Step 2: Convert to fraction form
    4,644/6,957.36 = 4,453.92/x
  3. Step 3: Cross multiply
    4,644x = 6,957.36 × 4,453.92
  4. Step 4: Simplify right side
    4,644x = 30,987,524.85
  5. Step 5: Solve for x
    x = 30,987,524.85/4,644
  6. Step 6: Final answer
    x = 6,672.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.