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Finding the Fourth Proportional to 4,178.16, 6,229.83 and 4,104.36

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Solution

The fourth proportional to 4,178.16, 6,229.83 and 4,104.36 is: 6,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.16 : 6,229.83 = 4,104.36 : x
  2. Step 2: Convert to fraction form
    4,178.16/6,229.83 = 4,104.36/x
  3. Step 3: Cross multiply
    4,178.16x = 6,229.83 × 4,104.36
  4. Step 4: Simplify right side
    4,178.16x = 25,569,465.06
  5. Step 5: Solve for x
    x = 25,569,465.06/4,178.16
  6. Step 6: Final answer
    x = 6,119.79

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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.