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Finding the Fourth Proportional to 4,930.92, 6,805.62 and 3,164.76

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Solution

The fourth proportional to 4,930.92, 6,805.62 and 3,164.76 is: 4,367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.92 : 6,805.62 = 3,164.76 : x
  2. Step 2: Convert to fraction form
    4,930.92/6,805.62 = 3,164.76/x
  3. Step 3: Cross multiply
    4,930.92x = 6,805.62 × 3,164.76
  4. Step 4: Simplify right side
    4,930.92x = 21,538,153.95
  5. Step 5: Solve for x
    x = 21,538,153.95/4,930.92
  6. Step 6: Final answer
    x = 4,367.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.