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Finding the Fourth Proportional to 3,585.86, 5,376.94 and 1,609.79

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Solution

The fourth proportional to 3,585.86, 5,376.94 and 1,609.79 is: 2,413.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.86 : 5,376.94 = 1,609.79 : x
  2. Step 2: Convert to fraction form
    3,585.86/5,376.94 = 1,609.79/x
  3. Step 3: Cross multiply
    3,585.86x = 5,376.94 × 1,609.79
  4. Step 4: Simplify right side
    3,585.86x = 8,655,744.24
  5. Step 5: Solve for x
    x = 8,655,744.24/3,585.86
  6. Step 6: Final answer
    x = 2,413.85

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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.