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Finding the Fourth Proportional to 5,065, 6,989.70 and 2,857

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Solution

The fourth proportional to 5,065, 6,989.70 and 2,857 is: 3,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065 : 6,989.70 = 2,857 : x
  2. Step 2: Convert to fraction form
    5,065/6,989.70 = 2,857/x
  3. Step 3: Cross multiply
    5,065x = 6,989.70 × 2,857
  4. Step 4: Simplify right side
    5,065x = 19,969,572.90
  5. Step 5: Solve for x
    x = 19,969,572.90/5,065
  6. Step 6: Final answer
    x = 3,942.66

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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.