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Finding the Fourth Proportional to 6,065.96, 8,371.49 and 3,413.39

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Solution

The fourth proportional to 6,065.96, 8,371.49 and 3,413.39 is: 4,710.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.96 : 8,371.49 = 3,413.39 : x
  2. Step 2: Convert to fraction form
    6,065.96/8,371.49 = 3,413.39/x
  3. Step 3: Cross multiply
    6,065.96x = 8,371.49 × 3,413.39
  4. Step 4: Simplify right side
    6,065.96x = 28,575,101.33
  5. Step 5: Solve for x
    x = 28,575,101.33/6,065.96
  6. Step 6: Final answer
    x = 4,710.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.