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Finding the Fourth Proportional to 4,099.76, 5,657.64 and 2,236.80

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Solution

The fourth proportional to 4,099.76, 5,657.64 and 2,236.80 is: 3,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.76 : 5,657.64 = 2,236.80 : x
  2. Step 2: Convert to fraction form
    4,099.76/5,657.64 = 2,236.80/x
  3. Step 3: Cross multiply
    4,099.76x = 5,657.64 × 2,236.80
  4. Step 4: Simplify right side
    4,099.76x = 12,655,009.15
  5. Step 5: Solve for x
    x = 12,655,009.15/4,099.76
  6. Step 6: Final answer
    x = 3,086.77

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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.