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Finding the Fourth Proportional to 5,243.14, 7,867.41 and 4,871.35

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Solution

The fourth proportional to 5,243.14, 7,867.41 and 4,871.35 is: 7,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.14 : 7,867.41 = 4,871.35 : x
  2. Step 2: Convert to fraction form
    5,243.14/7,867.41 = 4,871.35/x
  3. Step 3: Cross multiply
    5,243.14x = 7,867.41 × 4,871.35
  4. Step 4: Simplify right side
    5,243.14x = 38,324,907.70
  5. Step 5: Solve for x
    x = 38,324,907.70/5,243.14
  6. Step 6: Final answer
    x = 7,309.53

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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.