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Finding the Fourth Proportional to 3,222.52, 4,834.58 and 914

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Solution

The fourth proportional to 3,222.52, 4,834.58 and 914 is: 1,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.52 : 4,834.58 = 914 : x
  2. Step 2: Convert to fraction form
    3,222.52/4,834.58 = 914/x
  3. Step 3: Cross multiply
    3,222.52x = 4,834.58 × 914
  4. Step 4: Simplify right side
    3,222.52x = 4,418,806.12
  5. Step 5: Solve for x
    x = 4,418,806.12/3,222.52
  6. Step 6: Final answer
    x = 1,371.23

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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.