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Finding the Fourth Proportional to 4,932.36, 6,806.73 and 2,943

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Solution

The fourth proportional to 4,932.36, 6,806.73 and 2,943 is: 4,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.36 : 6,806.73 = 2,943 : x
  2. Step 2: Convert to fraction form
    4,932.36/6,806.73 = 2,943/x
  3. Step 3: Cross multiply
    4,932.36x = 6,806.73 × 2,943
  4. Step 4: Simplify right side
    4,932.36x = 20,032,217.43
  5. Step 5: Solve for x
    x = 20,032,217.43/4,932.36
  6. Step 6: Final answer
    x = 4,061.39

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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.