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Finding the Fourth Proportional to 3,856.50, 5,321.98 and 2,200.50

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Solution

The fourth proportional to 3,856.50, 5,321.98 and 2,200.50 is: 3,036.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.50 : 5,321.98 = 2,200.50 : x
  2. Step 2: Convert to fraction form
    3,856.50/5,321.98 = 2,200.50/x
  3. Step 3: Cross multiply
    3,856.50x = 5,321.98 × 2,200.50
  4. Step 4: Simplify right side
    3,856.50x = 11,711,016.99
  5. Step 5: Solve for x
    x = 11,711,016.99/3,856.50
  6. Step 6: Final answer
    x = 3,036.70

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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.