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Finding the Fourth Proportional to 5,644.14, 8,425.82 and 4,906.24

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Solution

The fourth proportional to 5,644.14, 8,425.82 and 4,906.24 is: 7,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.14 : 8,425.82 = 4,906.24 : x
  2. Step 2: Convert to fraction form
    5,644.14/8,425.82 = 4,906.24/x
  3. Step 3: Cross multiply
    5,644.14x = 8,425.82 × 4,906.24
  4. Step 4: Simplify right side
    5,644.14x = 41,339,095.12
  5. Step 5: Solve for x
    x = 41,339,095.12/5,644.14
  6. Step 6: Final answer
    x = 7,324.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.