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Finding the Fourth Proportional to 6,413.67, 8,852.02 and 3,826.78

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Solution

The fourth proportional to 6,413.67, 8,852.02 and 3,826.78 is: 5,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.67 : 8,852.02 = 3,826.78 : x
  2. Step 2: Convert to fraction form
    6,413.67/8,852.02 = 3,826.78/x
  3. Step 3: Cross multiply
    6,413.67x = 8,852.02 × 3,826.78
  4. Step 4: Simplify right side
    6,413.67x = 33,874,717.54
  5. Step 5: Solve for x
    x = 33,874,717.54/6,413.67
  6. Step 6: Final answer
    x = 5,281.64

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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.