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Finding the Fourth Proportional to 4,933.98, 6,805.71 and 2,943

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Solution

The fourth proportional to 4,933.98, 6,805.71 and 2,943 is: 4,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.98 : 6,805.71 = 2,943 : x
  2. Step 2: Convert to fraction form
    4,933.98/6,805.71 = 2,943/x
  3. Step 3: Cross multiply
    4,933.98x = 6,805.71 × 2,943
  4. Step 4: Simplify right side
    4,933.98x = 20,029,204.53
  5. Step 5: Solve for x
    x = 20,029,204.53/4,933.98
  6. Step 6: Final answer
    x = 4,059.44

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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.