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Finding the Fourth Proportional to 5,609.21, 8,413.51 and 1,713.32

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Solution

The fourth proportional to 5,609.21, 8,413.51 and 1,713.32 is: 2,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.21 : 8,413.51 = 1,713.32 : x
  2. Step 2: Convert to fraction form
    5,609.21/8,413.51 = 1,713.32/x
  3. Step 3: Cross multiply
    5,609.21x = 8,413.51 × 1,713.32
  4. Step 4: Simplify right side
    5,609.21x = 14,414,992.89
  5. Step 5: Solve for x
    x = 14,414,992.89/5,609.21
  6. Step 6: Final answer
    x = 2,569.88

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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.