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Finding the Fourth Proportional to 4,164, 6,227.20 and 3,177.12

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Solution

The fourth proportional to 4,164, 6,227.20 and 3,177.12 is: 4,751.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164 : 6,227.20 = 3,177.12 : x
  2. Step 2: Convert to fraction form
    4,164/6,227.20 = 3,177.12/x
  3. Step 3: Cross multiply
    4,164x = 6,227.20 × 3,177.12
  4. Step 4: Simplify right side
    4,164x = 19,784,561.66
  5. Step 5: Solve for x
    x = 19,784,561.66/4,164
  6. Step 6: Final answer
    x = 4,751.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.