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Finding the Fourth Proportional to 6,413.91, 8,849.12 and 3,580.83

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Solution

The fourth proportional to 6,413.91, 8,849.12 and 3,580.83 is: 4,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.91 : 8,849.12 = 3,580.83 : x
  2. Step 2: Convert to fraction form
    6,413.91/8,849.12 = 3,580.83/x
  3. Step 3: Cross multiply
    6,413.91x = 8,849.12 × 3,580.83
  4. Step 4: Simplify right side
    6,413.91x = 31,687,176.47
  5. Step 5: Solve for x
    x = 31,687,176.47/6,413.91
  6. Step 6: Final answer
    x = 4,940.38

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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.