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Finding the Fourth Proportional to 4,224.73, 6,340.74 and 2,035

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Solution

The fourth proportional to 4,224.73, 6,340.74 and 2,035 is: 3,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.73 : 6,340.74 = 2,035 : x
  2. Step 2: Convert to fraction form
    4,224.73/6,340.74 = 2,035/x
  3. Step 3: Cross multiply
    4,224.73x = 6,340.74 × 2,035
  4. Step 4: Simplify right side
    4,224.73x = 12,903,405.90
  5. Step 5: Solve for x
    x = 12,903,405.90/4,224.73
  6. Step 6: Final answer
    x = 3,054.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.