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Finding the Fourth Proportional to 4,213.44, 5,811.84 and 2,557.44

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Solution

The fourth proportional to 4,213.44, 5,811.84 and 2,557.44 is: 3,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.44 : 5,811.84 = 2,557.44 : x
  2. Step 2: Convert to fraction form
    4,213.44/5,811.84 = 2,557.44/x
  3. Step 3: Cross multiply
    4,213.44x = 5,811.84 × 2,557.44
  4. Step 4: Simplify right side
    4,213.44x = 14,863,432.09
  5. Step 5: Solve for x
    x = 14,863,432.09/4,213.44
  6. Step 6: Final answer
    x = 3,527.62

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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.