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Finding the Fourth Proportional to 4,404.29, 6,609.12 and 1,771.30

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Solution

The fourth proportional to 4,404.29, 6,609.12 and 1,771.30 is: 2,658.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,404.29 : 6,609.12 = 1,771.30 : x
  2. Step 2: Convert to fraction form
    4,404.29/6,609.12 = 1,771.30/x
  3. Step 3: Cross multiply
    4,404.29x = 6,609.12 × 1,771.30
  4. Step 4: Simplify right side
    4,404.29x = 11,706,717.73
  5. Step 5: Solve for x
    x = 11,706,717.73/4,404.29
  6. Step 6: Final answer
    x = 2,658.02

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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.