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Finding the Fourth Proportional to 4,868.62, 6,717.81 and 2,772.34

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Solution

The fourth proportional to 4,868.62, 6,717.81 and 2,772.34 is: 3,825.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.62 : 6,717.81 = 2,772.34 : x
  2. Step 2: Convert to fraction form
    4,868.62/6,717.81 = 2,772.34/x
  3. Step 3: Cross multiply
    4,868.62x = 6,717.81 × 2,772.34
  4. Step 4: Simplify right side
    4,868.62x = 18,624,053.38
  5. Step 5: Solve for x
    x = 18,624,053.38/4,868.62
  6. Step 6: Final answer
    x = 3,825.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.