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Finding the Fourth Proportional to 5,836.28, 8,049.12 and 4,932.22

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Solution

The fourth proportional to 5,836.28, 8,049.12 and 4,932.22 is: 6,802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.28 : 8,049.12 = 4,932.22 : x
  2. Step 2: Convert to fraction form
    5,836.28/8,049.12 = 4,932.22/x
  3. Step 3: Cross multiply
    5,836.28x = 8,049.12 × 4,932.22
  4. Step 4: Simplify right side
    5,836.28x = 39,700,030.65
  5. Step 5: Solve for x
    x = 39,700,030.65/5,836.28
  6. Step 6: Final answer
    x = 6,802.28

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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.