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Finding the Fourth Proportional to 4,806.43, 7,210.82 and 2,833.74

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Solution

The fourth proportional to 4,806.43, 7,210.82 and 2,833.74 is: 4,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.43 : 7,210.82 = 2,833.74 : x
  2. Step 2: Convert to fraction form
    4,806.43/7,210.82 = 2,833.74/x
  3. Step 3: Cross multiply
    4,806.43x = 7,210.82 × 2,833.74
  4. Step 4: Simplify right side
    4,806.43x = 20,433,596.15
  5. Step 5: Solve for x
    x = 20,433,596.15/4,806.43
  6. Step 6: Final answer
    x = 4,251.31

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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.