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Finding the Fourth Proportional to 5,504.63, 8,257.65 and 1,609.07

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Solution

The fourth proportional to 5,504.63, 8,257.65 and 1,609.07 is: 2,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.63 : 8,257.65 = 1,609.07 : x
  2. Step 2: Convert to fraction form
    5,504.63/8,257.65 = 1,609.07/x
  3. Step 3: Cross multiply
    5,504.63x = 8,257.65 × 1,609.07
  4. Step 4: Simplify right side
    5,504.63x = 13,287,089.56
  5. Step 5: Solve for x
    x = 13,287,089.56/5,504.63
  6. Step 6: Final answer
    x = 2,413.80

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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.