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Finding the Fourth Proportional to 4,964.32, 6,849.98 and 3,198.32

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Solution

The fourth proportional to 4,964.32, 6,849.98 and 3,198.32 is: 4,413.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.32 : 6,849.98 = 3,198.32 : x
  2. Step 2: Convert to fraction form
    4,964.32/6,849.98 = 3,198.32/x
  3. Step 3: Cross multiply
    4,964.32x = 6,849.98 × 3,198.32
  4. Step 4: Simplify right side
    4,964.32x = 21,908,393.78
  5. Step 5: Solve for x
    x = 21,908,393.78/4,964.32
  6. Step 6: Final answer
    x = 4,413.18

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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.