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Finding the Fourth Proportional to 5,266.14, 7,891.68 and 3,868.50

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Solution

The fourth proportional to 5,266.14, 7,891.68 and 3,868.50 is: 5,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.14 : 7,891.68 = 3,868.50 : x
  2. Step 2: Convert to fraction form
    5,266.14/7,891.68 = 3,868.50/x
  3. Step 3: Cross multiply
    5,266.14x = 7,891.68 × 3,868.50
  4. Step 4: Simplify right side
    5,266.14x = 30,528,964.08
  5. Step 5: Solve for x
    x = 30,528,964.08/5,266.14
  6. Step 6: Final answer
    x = 5,797.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.