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Finding the Fourth Proportional to 3,690.87, 5,537.43 and 1,609.89

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Solution

The fourth proportional to 3,690.87, 5,537.43 and 1,609.89 is: 2,415.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.87 : 5,537.43 = 1,609.89 : x
  2. Step 2: Convert to fraction form
    3,690.87/5,537.43 = 1,609.89/x
  3. Step 3: Cross multiply
    3,690.87x = 5,537.43 × 1,609.89
  4. Step 4: Simplify right side
    3,690.87x = 8,914,653.18
  5. Step 5: Solve for x
    x = 8,914,653.18/3,690.87
  6. Step 6: Final answer
    x = 2,415.33

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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.