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Finding the Fourth Proportional to 4,099.54, 5,657.08 and 2,420.86

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Solution

The fourth proportional to 4,099.54, 5,657.08 and 2,420.86 is: 3,340.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.54 : 5,657.08 = 2,420.86 : x
  2. Step 2: Convert to fraction form
    4,099.54/5,657.08 = 2,420.86/x
  3. Step 3: Cross multiply
    4,099.54x = 5,657.08 × 2,420.86
  4. Step 4: Simplify right side
    4,099.54x = 13,694,998.69
  5. Step 5: Solve for x
    x = 13,694,998.69/4,099.54
  6. Step 6: Final answer
    x = 3,340.62

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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.