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Finding the Fourth Proportional to 6,413.66, 8,850.26 and 3,724.16

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Solution

The fourth proportional to 6,413.66, 8,850.26 and 3,724.16 is: 5,139.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.66 : 8,850.26 = 3,724.16 : x
  2. Step 2: Convert to fraction form
    6,413.66/8,850.26 = 3,724.16/x
  3. Step 3: Cross multiply
    6,413.66x = 8,850.26 × 3,724.16
  4. Step 4: Simplify right side
    6,413.66x = 32,959,784.28
  5. Step 5: Solve for x
    x = 32,959,784.28/6,413.66
  6. Step 6: Final answer
    x = 5,139.00

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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.