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Finding the Fourth Proportional to 3,609.72, 5,416.38 and 1,661.40

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Solution

The fourth proportional to 3,609.72, 5,416.38 and 1,661.40 is: 2,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.72 : 5,416.38 = 1,661.40 : x
  2. Step 2: Convert to fraction form
    3,609.72/5,416.38 = 1,661.40/x
  3. Step 3: Cross multiply
    3,609.72x = 5,416.38 × 1,661.40
  4. Step 4: Simplify right side
    3,609.72x = 8,998,773.73
  5. Step 5: Solve for x
    x = 8,998,773.73/3,609.72
  6. Step 6: Final answer
    x = 2,492.93

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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.