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Finding the Fourth Proportional to 4,969.50, 6,857.91 and 3,106.50

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Solution

The fourth proportional to 4,969.50, 6,857.91 and 3,106.50 is: 4,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.50 : 6,857.91 = 3,106.50 : x
  2. Step 2: Convert to fraction form
    4,969.50/6,857.91 = 3,106.50/x
  3. Step 3: Cross multiply
    4,969.50x = 6,857.91 × 3,106.50
  4. Step 4: Simplify right side
    4,969.50x = 21,304,097.42
  5. Step 5: Solve for x
    x = 21,304,097.42/4,969.50
  6. Step 6: Final answer
    x = 4,286.97

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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.