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Finding the Fourth Proportional to 4,952.76, 6,833.57 and 3,186.69

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Solution

The fourth proportional to 4,952.76, 6,833.57 and 3,186.69 is: 4,396.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.76 : 6,833.57 = 3,186.69 : x
  2. Step 2: Convert to fraction form
    4,952.76/6,833.57 = 3,186.69/x
  3. Step 3: Cross multiply
    4,952.76x = 6,833.57 × 3,186.69
  4. Step 4: Simplify right side
    4,952.76x = 21,776,453.25
  5. Step 5: Solve for x
    x = 21,776,453.25/4,952.76
  6. Step 6: Final answer
    x = 4,396.83

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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.