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Finding the Fourth Proportional to 3,690.82, 5,535.82 and 2,301.40

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Solution

The fourth proportional to 3,690.82, 5,535.82 and 2,301.40 is: 3,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.82 : 5,535.82 = 2,301.40 : x
  2. Step 2: Convert to fraction form
    3,690.82/5,535.82 = 2,301.40/x
  3. Step 3: Cross multiply
    3,690.82x = 5,535.82 × 2,301.40
  4. Step 4: Simplify right side
    3,690.82x = 12,740,136.15
  5. Step 5: Solve for x
    x = 12,740,136.15/3,690.82
  6. Step 6: Final answer
    x = 3,451.84

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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.