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Finding the Fourth Proportional to 4,878.12, 6,728.76 and 3,199.62

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Solution

The fourth proportional to 4,878.12, 6,728.76 and 3,199.62 is: 4,413.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,878.12 : 6,728.76 = 3,199.62 : x
  2. Step 2: Convert to fraction form
    4,878.12/6,728.76 = 3,199.62/x
  3. Step 3: Cross multiply
    4,878.12x = 6,728.76 × 3,199.62
  4. Step 4: Simplify right side
    4,878.12x = 21,529,475.07
  5. Step 5: Solve for x
    x = 21,529,475.07/4,878.12
  6. Step 6: Final answer
    x = 4,413.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.