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Finding the Fourth Proportional to 4,965.13, 6,853.41 and 3,196.73

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Solution

The fourth proportional to 4,965.13, 6,853.41 and 3,196.73 is: 4,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.13 : 6,853.41 = 3,196.73 : x
  2. Step 2: Convert to fraction form
    4,965.13/6,853.41 = 3,196.73/x
  3. Step 3: Cross multiply
    4,965.13x = 6,853.41 × 3,196.73
  4. Step 4: Simplify right side
    4,965.13x = 21,908,509.34
  5. Step 5: Solve for x
    x = 21,908,509.34/4,965.13
  6. Step 6: Final answer
    x = 4,412.48

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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.