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Finding the Fourth Proportional to 4,199.94, 5,796.63 and 2,432.62

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Solution

The fourth proportional to 4,199.94, 5,796.63 and 2,432.62 is: 3,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.94 : 5,796.63 = 2,432.62 : x
  2. Step 2: Convert to fraction form
    4,199.94/5,796.63 = 2,432.62/x
  3. Step 3: Cross multiply
    4,199.94x = 5,796.63 × 2,432.62
  4. Step 4: Simplify right side
    4,199.94x = 14,100,998.07
  5. Step 5: Solve for x
    x = 14,100,998.07/4,199.94
  6. Step 6: Final answer
    x = 3,357.43

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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.