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Finding the Fourth Proportional to 4,842.75, 6,682.16 and 2,853.15

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Solution

The fourth proportional to 4,842.75, 6,682.16 and 2,853.15 is: 3,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.75 : 6,682.16 = 2,853.15 : x
  2. Step 2: Convert to fraction form
    4,842.75/6,682.16 = 2,853.15/x
  3. Step 3: Cross multiply
    4,842.75x = 6,682.16 × 2,853.15
  4. Step 4: Simplify right side
    4,842.75x = 19,065,190.54
  5. Step 5: Solve for x
    x = 19,065,190.54/4,842.75
  6. Step 6: Final answer
    x = 3,936.85

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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.