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Finding the Fourth Proportional to 6,246.26, 8,620.08 and 3,413.92

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Solution

The fourth proportional to 6,246.26, 8,620.08 and 3,413.92 is: 4,711.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.26 : 8,620.08 = 3,413.92 : x
  2. Step 2: Convert to fraction form
    6,246.26/8,620.08 = 3,413.92/x
  3. Step 3: Cross multiply
    6,246.26x = 8,620.08 × 3,413.92
  4. Step 4: Simplify right side
    6,246.26x = 29,428,263.51
  5. Step 5: Solve for x
    x = 29,428,263.51/6,246.26
  6. Step 6: Final answer
    x = 4,711.34

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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.