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Finding the Fourth Proportional to 5,617.26, 8,413.13 and 3,421.15

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Solution

The fourth proportional to 5,617.26, 8,413.13 and 3,421.15 is: 5,123.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.26 : 8,413.13 = 3,421.15 : x
  2. Step 2: Convert to fraction form
    5,617.26/8,413.13 = 3,421.15/x
  3. Step 3: Cross multiply
    5,617.26x = 8,413.13 × 3,421.15
  4. Step 4: Simplify right side
    5,617.26x = 28,782,567.22
  5. Step 5: Solve for x
    x = 28,782,567.22/5,617.26
  6. Step 6: Final answer
    x = 5,123.95

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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.