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Finding the Fourth Proportional to 4,974.27, 7,458.42 and 2,342.37

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Solution

The fourth proportional to 4,974.27, 7,458.42 and 2,342.37 is: 3,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.27 : 7,458.42 = 2,342.37 : x
  2. Step 2: Convert to fraction form
    4,974.27/7,458.42 = 2,342.37/x
  3. Step 3: Cross multiply
    4,974.27x = 7,458.42 × 2,342.37
  4. Step 4: Simplify right side
    4,974.27x = 17,470,379.26
  5. Step 5: Solve for x
    x = 17,470,379.26/4,974.27
  6. Step 6: Final answer
    x = 3,512.15

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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.