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Finding the Fourth Proportional to 4,854.78, 7,286.52 and 2,516.46

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Solution

The fourth proportional to 4,854.78, 7,286.52 and 2,516.46 is: 3,776.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.78 : 7,286.52 = 2,516.46 : x
  2. Step 2: Convert to fraction form
    4,854.78/7,286.52 = 2,516.46/x
  3. Step 3: Cross multiply
    4,854.78x = 7,286.52 × 2,516.46
  4. Step 4: Simplify right side
    4,854.78x = 18,336,236.12
  5. Step 5: Solve for x
    x = 18,336,236.12/4,854.78
  6. Step 6: Final answer
    x = 3,776.94

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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.