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Finding the Fourth Proportional to 4,449.42, 6,135.56 and 3,822

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Solution

The fourth proportional to 4,449.42, 6,135.56 and 3,822 is: 5,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.42 : 6,135.56 = 3,822 : x
  2. Step 2: Convert to fraction form
    4,449.42/6,135.56 = 3,822/x
  3. Step 3: Cross multiply
    4,449.42x = 6,135.56 × 3,822
  4. Step 4: Simplify right side
    4,449.42x = 23,450,110.32
  5. Step 5: Solve for x
    x = 23,450,110.32/4,449.42
  6. Step 6: Final answer
    x = 5,270.37

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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.