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Finding the Fourth Proportional to 4,179.74, 5,766 and 3,516.35

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Solution

The fourth proportional to 4,179.74, 5,766 and 3,516.35 is: 4,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.74 : 5,766 = 3,516.35 : x
  2. Step 2: Convert to fraction form
    4,179.74/5,766 = 3,516.35/x
  3. Step 3: Cross multiply
    4,179.74x = 5,766 × 3,516.35
  4. Step 4: Simplify right side
    4,179.74x = 20,275,274.10
  5. Step 5: Solve for x
    x = 20,275,274.10/4,179.74
  6. Step 6: Final answer
    x = 4,850.85

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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.