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Finding the Fourth Proportional to 3,608.34, 5,413.50 and 1,143.51

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Solution

The fourth proportional to 3,608.34, 5,413.50 and 1,143.51 is: 1,715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.34 : 5,413.50 = 1,143.51 : x
  2. Step 2: Convert to fraction form
    3,608.34/5,413.50 = 1,143.51/x
  3. Step 3: Cross multiply
    3,608.34x = 5,413.50 × 1,143.51
  4. Step 4: Simplify right side
    3,608.34x = 6,190,391.39
  5. Step 5: Solve for x
    x = 6,190,391.39/3,608.34
  6. Step 6: Final answer
    x = 1,715.58

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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.