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Finding the Fourth Proportional to 4,959.99, 6,833.52 and 3,837.06

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Solution

The fourth proportional to 4,959.99, 6,833.52 and 3,837.06 is: 5,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.99 : 6,833.52 = 3,837.06 : x
  2. Step 2: Convert to fraction form
    4,959.99/6,833.52 = 3,837.06/x
  3. Step 3: Cross multiply
    4,959.99x = 6,833.52 × 3,837.06
  4. Step 4: Simplify right side
    4,959.99x = 26,220,626.25
  5. Step 5: Solve for x
    x = 26,220,626.25/4,959.99
  6. Step 6: Final answer
    x = 5,286.43

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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.