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Finding the Fourth Proportional to 4,812.28, 7,216.62 and 1,891

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Solution

The fourth proportional to 4,812.28, 7,216.62 and 1,891 is: 2,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,812.28 : 7,216.62 = 1,891 : x
  2. Step 2: Convert to fraction form
    4,812.28/7,216.62 = 1,891/x
  3. Step 3: Cross multiply
    4,812.28x = 7,216.62 × 1,891
  4. Step 4: Simplify right side
    4,812.28x = 13,646,628.42
  5. Step 5: Solve for x
    x = 13,646,628.42/4,812.28
  6. Step 6: Final answer
    x = 2,835.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.