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Finding the Fourth Proportional to 4,426.16, 6,109.08 and 3,678.08

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Solution

The fourth proportional to 4,426.16, 6,109.08 and 3,678.08 is: 5,076.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,426.16 : 6,109.08 = 3,678.08 : x
  2. Step 2: Convert to fraction form
    4,426.16/6,109.08 = 3,678.08/x
  3. Step 3: Cross multiply
    4,426.16x = 6,109.08 × 3,678.08
  4. Step 4: Simplify right side
    4,426.16x = 22,469,684.97
  5. Step 5: Solve for x
    x = 22,469,684.97/4,426.16
  6. Step 6: Final answer
    x = 5,076.56

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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.