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Finding the Fourth Proportional to 4,648.50, 6,414.30 and 2,856.78

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Solution

The fourth proportional to 4,648.50, 6,414.30 and 2,856.78 is: 3,941.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648.50 : 6,414.30 = 2,856.78 : x
  2. Step 2: Convert to fraction form
    4,648.50/6,414.30 = 2,856.78/x
  3. Step 3: Cross multiply
    4,648.50x = 6,414.30 × 2,856.78
  4. Step 4: Simplify right side
    4,648.50x = 18,324,243.95
  5. Step 5: Solve for x
    x = 18,324,243.95/4,648.50
  6. Step 6: Final answer
    x = 3,941.97

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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.