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Finding the Fourth Proportional to 6,208, 8,567.04 and 3,413.50

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Solution

The fourth proportional to 6,208, 8,567.04 and 3,413.50 is: 4,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208 : 8,567.04 = 3,413.50 : x
  2. Step 2: Convert to fraction form
    6,208/8,567.04 = 3,413.50/x
  3. Step 3: Cross multiply
    6,208x = 8,567.04 × 3,413.50
  4. Step 4: Simplify right side
    6,208x = 29,243,591.04
  5. Step 5: Solve for x
    x = 29,243,591.04/6,208
  6. Step 6: Final answer
    x = 4,710.63

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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.