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Finding the Fourth Proportional to 4,099.50, 5,657.40 and 2,236.50

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Solution

The fourth proportional to 4,099.50, 5,657.40 and 2,236.50 is: 3,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.50 : 5,657.40 = 2,236.50 : x
  2. Step 2: Convert to fraction form
    4,099.50/5,657.40 = 2,236.50/x
  3. Step 3: Cross multiply
    4,099.50x = 5,657.40 × 2,236.50
  4. Step 4: Simplify right side
    4,099.50x = 12,652,775.10
  5. Step 5: Solve for x
    x = 12,652,775.10/4,099.50
  6. Step 6: Final answer
    x = 3,086.42

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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.