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Finding the Fourth Proportional to 3,536.29, 5,296.22 and 3,413.27

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Solution

The fourth proportional to 3,536.29, 5,296.22 and 3,413.27 is: 5,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.29 : 5,296.22 = 3,413.27 : x
  2. Step 2: Convert to fraction form
    3,536.29/5,296.22 = 3,413.27/x
  3. Step 3: Cross multiply
    3,536.29x = 5,296.22 × 3,413.27
  4. Step 4: Simplify right side
    3,536.29x = 18,077,437.81
  5. Step 5: Solve for x
    x = 18,077,437.81/3,536.29
  6. Step 6: Final answer
    x = 5,111.98

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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.