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Finding the Fourth Proportional to 4,176.76, 6,268.18 and 3,364.84

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Solution

The fourth proportional to 4,176.76, 6,268.18 and 3,364.84 is: 5,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.76 : 6,268.18 = 3,364.84 : x
  2. Step 2: Convert to fraction form
    4,176.76/6,268.18 = 3,364.84/x
  3. Step 3: Cross multiply
    4,176.76x = 6,268.18 × 3,364.84
  4. Step 4: Simplify right side
    4,176.76x = 21,091,422.79
  5. Step 5: Solve for x
    x = 21,091,422.79/4,176.76
  6. Step 6: Final answer
    x = 5,049.71

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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.