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Finding the Fourth Proportional to 3,644.42, 5,468 and 2,184.62

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Solution

The fourth proportional to 3,644.42, 5,468 and 2,184.62 is: 3,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.42 : 5,468 = 2,184.62 : x
  2. Step 2: Convert to fraction form
    3,644.42/5,468 = 2,184.62/x
  3. Step 3: Cross multiply
    3,644.42x = 5,468 × 2,184.62
  4. Step 4: Simplify right side
    3,644.42x = 11,945,502.16
  5. Step 5: Solve for x
    x = 11,945,502.16/3,644.42
  6. Step 6: Final answer
    x = 3,277.75

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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.