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Finding the Fourth Proportional to 3,536.42, 5,296.42 and 3,413.41

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Solution

The fourth proportional to 3,536.42, 5,296.42 and 3,413.41 is: 5,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.42 : 5,296.42 = 3,413.41 : x
  2. Step 2: Convert to fraction form
    3,536.42/5,296.42 = 3,413.41/x
  3. Step 3: Cross multiply
    3,536.42x = 5,296.42 × 3,413.41
  4. Step 4: Simplify right side
    3,536.42x = 18,078,852.99
  5. Step 5: Solve for x
    x = 18,078,852.99/3,536.42
  6. Step 6: Final answer
    x = 5,112.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.