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Finding the Fourth Proportional to 4,739.82, 6,541.23 and 2,749.65

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Solution

The fourth proportional to 4,739.82, 6,541.23 and 2,749.65 is: 3,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,739.82 : 6,541.23 = 2,749.65 : x
  2. Step 2: Convert to fraction form
    4,739.82/6,541.23 = 2,749.65/x
  3. Step 3: Cross multiply
    4,739.82x = 6,541.23 × 2,749.65
  4. Step 4: Simplify right side
    4,739.82x = 17,986,093.07
  5. Step 5: Solve for x
    x = 17,986,093.07/4,739.82
  6. Step 6: Final answer
    x = 3,794.68

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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.