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Finding the Fourth Proportional to 4,932.98, 6,806.43 and 3,233.96

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Solution

The fourth proportional to 4,932.98, 6,806.43 and 3,233.96 is: 4,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.98 : 6,806.43 = 3,233.96 : x
  2. Step 2: Convert to fraction form
    4,932.98/6,806.43 = 3,233.96/x
  3. Step 3: Cross multiply
    4,932.98x = 6,806.43 × 3,233.96
  4. Step 4: Simplify right side
    4,932.98x = 22,011,688.33
  5. Step 5: Solve for x
    x = 22,011,688.33/4,932.98
  6. Step 6: Final answer
    x = 4,462.15

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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.