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Finding the Fourth Proportional to 4,616.83, 6,918.13 and 3,134.13

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Solution

The fourth proportional to 4,616.83, 6,918.13 and 3,134.13 is: 4,696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.83 : 6,918.13 = 3,134.13 : x
  2. Step 2: Convert to fraction form
    4,616.83/6,918.13 = 3,134.13/x
  3. Step 3: Cross multiply
    4,616.83x = 6,918.13 × 3,134.13
  4. Step 4: Simplify right side
    4,616.83x = 21,682,318.78
  5. Step 5: Solve for x
    x = 21,682,318.78/4,616.83
  6. Step 6: Final answer
    x = 4,696.36

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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.