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Finding the Fourth Proportional to 4,596, 6,893.28 and 3,821

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Solution

The fourth proportional to 4,596, 6,893.28 and 3,821 is: 5,730.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596 : 6,893.28 = 3,821 : x
  2. Step 2: Convert to fraction form
    4,596/6,893.28 = 3,821/x
  3. Step 3: Cross multiply
    4,596x = 6,893.28 × 3,821
  4. Step 4: Simplify right side
    4,596x = 26,339,222.88
  5. Step 5: Solve for x
    x = 26,339,222.88/4,596
  6. Step 6: Final answer
    x = 5,730.90

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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.