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Finding the Fourth Proportional to 5,770.26, 8,654.40 and 1,609.14

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Solution

The fourth proportional to 5,770.26, 8,654.40 and 1,609.14 is: 2,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.26 : 8,654.40 = 1,609.14 : x
  2. Step 2: Convert to fraction form
    5,770.26/8,654.40 = 1,609.14/x
  3. Step 3: Cross multiply
    5,770.26x = 8,654.40 × 1,609.14
  4. Step 4: Simplify right side
    5,770.26x = 13,926,141.22
  5. Step 5: Solve for x
    x = 13,926,141.22/5,770.26
  6. Step 6: Final answer
    x = 2,413.43

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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.