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Finding the Fourth Proportional to 4,211.92, 6,274.65 and 4,022.38

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Solution

The fourth proportional to 4,211.92, 6,274.65 and 4,022.38 is: 5,992.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,211.92 : 6,274.65 = 4,022.38 : x
  2. Step 2: Convert to fraction form
    4,211.92/6,274.65 = 4,022.38/x
  3. Step 3: Cross multiply
    4,211.92x = 6,274.65 × 4,022.38
  4. Step 4: Simplify right side
    4,211.92x = 25,238,975.18
  5. Step 5: Solve for x
    x = 25,238,975.18/4,211.92
  6. Step 6: Final answer
    x = 5,992.28

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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.