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Finding the Fourth Proportional to 3,661.52, 5,493.12 and 1,064.36

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Solution

The fourth proportional to 3,661.52, 5,493.12 and 1,064.36 is: 1,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.52 : 5,493.12 = 1,064.36 : x
  2. Step 2: Convert to fraction form
    3,661.52/5,493.12 = 1,064.36/x
  3. Step 3: Cross multiply
    3,661.52x = 5,493.12 × 1,064.36
  4. Step 4: Simplify right side
    3,661.52x = 5,846,657.20
  5. Step 5: Solve for x
    x = 5,846,657.20/3,661.52
  6. Step 6: Final answer
    x = 1,596.78

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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.