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Finding the Fourth Proportional to 4,246.96, 5,862.78 and 2,833

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Solution

The fourth proportional to 4,246.96, 5,862.78 and 2,833 is: 3,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,246.96 : 5,862.78 = 2,833 : x
  2. Step 2: Convert to fraction form
    4,246.96/5,862.78 = 2,833/x
  3. Step 3: Cross multiply
    4,246.96x = 5,862.78 × 2,833
  4. Step 4: Simplify right side
    4,246.96x = 16,609,255.74
  5. Step 5: Solve for x
    x = 16,609,255.74/4,246.96
  6. Step 6: Final answer
    x = 3,910.86

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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.