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Finding the Fourth Proportional to 4,429.42, 6,644.12 and 1,351.42

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Solution

The fourth proportional to 4,429.42, 6,644.12 and 1,351.42 is: 2,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,429.42 : 6,644.12 = 1,351.42 : x
  2. Step 2: Convert to fraction form
    4,429.42/6,644.12 = 1,351.42/x
  3. Step 3: Cross multiply
    4,429.42x = 6,644.12 × 1,351.42
  4. Step 4: Simplify right side
    4,429.42x = 8,978,973.28
  5. Step 5: Solve for x
    x = 8,978,973.28/4,429.42
  6. Step 6: Final answer
    x = 2,027.12

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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.