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Finding the Fourth Proportional to 4,174.54, 6,214.10 and 4,112.25

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Solution

The fourth proportional to 4,174.54, 6,214.10 and 4,112.25 is: 6,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.54 : 6,214.10 = 4,112.25 : x
  2. Step 2: Convert to fraction form
    4,174.54/6,214.10 = 4,112.25/x
  3. Step 3: Cross multiply
    4,174.54x = 6,214.10 × 4,112.25
  4. Step 4: Simplify right side
    4,174.54x = 25,553,946.95
  5. Step 5: Solve for x
    x = 25,553,946.95/4,174.54
  6. Step 6: Final answer
    x = 6,121.38

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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.