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Finding the Fourth Proportional to 3,591.96, 4,956.82 and 2,020.06

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Solution

The fourth proportional to 3,591.96, 4,956.82 and 2,020.06 is: 2,787.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.96 : 4,956.82 = 2,020.06 : x
  2. Step 2: Convert to fraction form
    3,591.96/4,956.82 = 2,020.06/x
  3. Step 3: Cross multiply
    3,591.96x = 4,956.82 × 2,020.06
  4. Step 4: Simplify right side
    3,591.96x = 10,013,073.81
  5. Step 5: Solve for x
    x = 10,013,073.81/3,591.96
  6. Step 6: Final answer
    x = 2,787.64

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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.