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Finding the Fourth Proportional to 6,065.86, 8,370.92 and 3,413.31

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Solution

The fourth proportional to 6,065.86, 8,370.92 and 3,413.31 is: 4,710.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.86 : 8,370.92 = 3,413.31 : x
  2. Step 2: Convert to fraction form
    6,065.86/8,370.92 = 3,413.31/x
  3. Step 3: Cross multiply
    6,065.86x = 8,370.92 × 3,413.31
  4. Step 4: Simplify right side
    6,065.86x = 28,572,527.88
  5. Step 5: Solve for x
    x = 28,572,527.88/6,065.86
  6. Step 6: Final answer
    x = 4,710.39

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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.