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Finding the Fourth Proportional to 4,238.52, 5,843.42 and 3,574.22

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Solution

The fourth proportional to 4,238.52, 5,843.42 and 3,574.22 is: 4,927.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.52 : 5,843.42 = 3,574.22 : x
  2. Step 2: Convert to fraction form
    4,238.52/5,843.42 = 3,574.22/x
  3. Step 3: Cross multiply
    4,238.52x = 5,843.42 × 3,574.22
  4. Step 4: Simplify right side
    4,238.52x = 20,885,636.15
  5. Step 5: Solve for x
    x = 20,885,636.15/4,238.52
  6. Step 6: Final answer
    x = 4,927.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.