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Finding the Fourth Proportional to 4,964.14, 6,849.09 and 3,196.30

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Solution

The fourth proportional to 4,964.14, 6,849.09 and 3,196.30 is: 4,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.14 : 6,849.09 = 3,196.30 : x
  2. Step 2: Convert to fraction form
    4,964.14/6,849.09 = 3,196.30/x
  3. Step 3: Cross multiply
    4,964.14x = 6,849.09 × 3,196.30
  4. Step 4: Simplify right side
    4,964.14x = 21,891,746.37
  5. Step 5: Solve for x
    x = 21,891,746.37/4,964.14
  6. Step 6: Final answer
    x = 4,409.98

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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.