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Finding the Fourth Proportional to 3,690.60, 5,082.66 and 3,609.96

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Solution

The fourth proportional to 3,690.60, 5,082.66 and 3,609.96 is: 4,971.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.60 : 5,082.66 = 3,609.96 : x
  2. Step 2: Convert to fraction form
    3,690.60/5,082.66 = 3,609.96/x
  3. Step 3: Cross multiply
    3,690.60x = 5,082.66 × 3,609.96
  4. Step 4: Simplify right side
    3,690.60x = 18,348,199.29
  5. Step 5: Solve for x
    x = 18,348,199.29/3,690.60
  6. Step 6: Final answer
    x = 4,971.60

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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.