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Finding the Fourth Proportional to 4,516.66, 6,764.11 and 3,854.69

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Solution

The fourth proportional to 4,516.66, 6,764.11 and 3,854.69 is: 5,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.66 : 6,764.11 = 3,854.69 : x
  2. Step 2: Convert to fraction form
    4,516.66/6,764.11 = 3,854.69/x
  3. Step 3: Cross multiply
    4,516.66x = 6,764.11 × 3,854.69
  4. Step 4: Simplify right side
    4,516.66x = 26,073,529.08
  5. Step 5: Solve for x
    x = 26,073,529.08/4,516.66
  6. Step 6: Final answer
    x = 5,772.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.