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Finding the Fourth Proportional to 3,690.79, 5,536.73 and 1,381.75

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Solution

The fourth proportional to 3,690.79, 5,536.73 and 1,381.75 is: 2,072.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.79 : 5,536.73 = 1,381.75 : x
  2. Step 2: Convert to fraction form
    3,690.79/5,536.73 = 1,381.75/x
  3. Step 3: Cross multiply
    3,690.79x = 5,536.73 × 1,381.75
  4. Step 4: Simplify right side
    3,690.79x = 7,650,376.68
  5. Step 5: Solve for x
    x = 7,650,376.68/3,690.79
  6. Step 6: Final answer
    x = 2,072.83

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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.