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Finding the Fourth Proportional to 4,952.28, 6,835.11 and 3,273.78

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Solution

The fourth proportional to 4,952.28, 6,835.11 and 3,273.78 is: 4,518.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.28 : 6,835.11 = 3,273.78 : x
  2. Step 2: Convert to fraction form
    4,952.28/6,835.11 = 3,273.78/x
  3. Step 3: Cross multiply
    4,952.28x = 6,835.11 × 3,273.78
  4. Step 4: Simplify right side
    4,952.28x = 22,376,646.42
  5. Step 5: Solve for x
    x = 22,376,646.42/4,952.28
  6. Step 6: Final answer
    x = 4,518.45

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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.