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Finding the Fourth Proportional to 4,606.75, 6,917.05 and 2,766.11

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Solution

The fourth proportional to 4,606.75, 6,917.05 and 2,766.11 is: 4,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.75 : 6,917.05 = 2,766.11 : x
  2. Step 2: Convert to fraction form
    4,606.75/6,917.05 = 2,766.11/x
  3. Step 3: Cross multiply
    4,606.75x = 6,917.05 × 2,766.11
  4. Step 4: Simplify right side
    4,606.75x = 19,133,286.59
  5. Step 5: Solve for x
    x = 19,133,286.59/4,606.75
  6. Step 6: Final answer
    x = 4,153.32

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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.