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Finding the Fourth Proportional to 4,229.72, 6,340.93 and 2,035.43

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Solution

The fourth proportional to 4,229.72, 6,340.93 and 2,035.43 is: 3,051.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.72 : 6,340.93 = 2,035.43 : x
  2. Step 2: Convert to fraction form
    4,229.72/6,340.93 = 2,035.43/x
  3. Step 3: Cross multiply
    4,229.72x = 6,340.93 × 2,035.43
  4. Step 4: Simplify right side
    4,229.72x = 12,906,477.27
  5. Step 5: Solve for x
    x = 12,906,477.27/4,229.72
  6. Step 6: Final answer
    x = 3,051.38

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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.