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Finding the Fourth Proportional to 3,544.63, 4,892.06 and 2,052.27

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Solution

The fourth proportional to 3,544.63, 4,892.06 and 2,052.27 is: 2,832.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.63 : 4,892.06 = 2,052.27 : x
  2. Step 2: Convert to fraction form
    3,544.63/4,892.06 = 2,052.27/x
  3. Step 3: Cross multiply
    3,544.63x = 4,892.06 × 2,052.27
  4. Step 4: Simplify right side
    3,544.63x = 10,039,827.98
  5. Step 5: Solve for x
    x = 10,039,827.98/3,544.63
  6. Step 6: Final answer
    x = 2,832.41

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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.