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Finding the Fourth Proportional to 5,708.50, 8,556.31 and 4,317.33

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Solution

The fourth proportional to 5,708.50, 8,556.31 and 4,317.33 is: 6,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.50 : 8,556.31 = 4,317.33 : x
  2. Step 2: Convert to fraction form
    5,708.50/8,556.31 = 4,317.33/x
  3. Step 3: Cross multiply
    5,708.50x = 8,556.31 × 4,317.33
  4. Step 4: Simplify right side
    5,708.50x = 36,940,413.85
  5. Step 5: Solve for x
    x = 36,940,413.85/5,708.50
  6. Step 6: Final answer
    x = 6,471.12

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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.