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Finding the Fourth Proportional to 6,493.31, 8,962.99 and 3,805.39

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Solution

The fourth proportional to 6,493.31, 8,962.99 and 3,805.39 is: 5,252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.31 : 8,962.99 = 3,805.39 : x
  2. Step 2: Convert to fraction form
    6,493.31/8,962.99 = 3,805.39/x
  3. Step 3: Cross multiply
    6,493.31x = 8,962.99 × 3,805.39
  4. Step 4: Simplify right side
    6,493.31x = 34,107,631.08
  5. Step 5: Solve for x
    x = 34,107,631.08/6,493.31
  6. Step 6: Final answer
    x = 5,252.74

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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.