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Finding the Fourth Proportional to 5,914, 8,871 and 3,317.14

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Solution

The fourth proportional to 5,914, 8,871 and 3,317.14 is: 4,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914 : 8,871 = 3,317.14 : x
  2. Step 2: Convert to fraction form
    5,914/8,871 = 3,317.14/x
  3. Step 3: Cross multiply
    5,914x = 8,871 × 3,317.14
  4. Step 4: Simplify right side
    5,914x = 29,426,348.94
  5. Step 5: Solve for x
    x = 29,426,348.94/5,914
  6. Step 6: Final answer
    x = 4,975.71

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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.