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Finding the Fourth Proportional to 4,849.65, 6,695.69 and 3,728.52

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Solution

The fourth proportional to 4,849.65, 6,695.69 and 3,728.52 is: 5,147.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.65 : 6,695.69 = 3,728.52 : x
  2. Step 2: Convert to fraction form
    4,849.65/6,695.69 = 3,728.52/x
  3. Step 3: Cross multiply
    4,849.65x = 6,695.69 × 3,728.52
  4. Step 4: Simplify right side
    4,849.65x = 24,964,995.44
  5. Step 5: Solve for x
    x = 24,964,995.44/4,849.65
  6. Step 6: Final answer
    x = 5,147.79

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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.