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Finding the Fourth Proportional to 3,927.69, 5,420.19 and 2,226.19

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Solution

The fourth proportional to 3,927.69, 5,420.19 and 2,226.19 is: 3,072.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.69 : 5,420.19 = 2,226.19 : x
  2. Step 2: Convert to fraction form
    3,927.69/5,420.19 = 2,226.19/x
  3. Step 3: Cross multiply
    3,927.69x = 5,420.19 × 2,226.19
  4. Step 4: Simplify right side
    3,927.69x = 12,066,384.86
  5. Step 5: Solve for x
    x = 12,066,384.86/3,927.69
  6. Step 6: Final answer
    x = 3,072.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.