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Finding the Fourth Proportional to 6,413.01, 8,850.16 and 3,724.02

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Solution

The fourth proportional to 6,413.01, 8,850.16 and 3,724.02 is: 5,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.01 : 8,850.16 = 3,724.02 : x
  2. Step 2: Convert to fraction form
    6,413.01/8,850.16 = 3,724.02/x
  3. Step 3: Cross multiply
    6,413.01x = 8,850.16 × 3,724.02
  4. Step 4: Simplify right side
    6,413.01x = 32,958,172.84
  5. Step 5: Solve for x
    x = 32,958,172.84/6,413.01
  6. Step 6: Final answer
    x = 5,139.27

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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.