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Finding the Fourth Proportional to 5,942.52, 8,907.90 and 2,817

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Solution

The fourth proportional to 5,942.52, 8,907.90 and 2,817 is: 4,222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.52 : 8,907.90 = 2,817 : x
  2. Step 2: Convert to fraction form
    5,942.52/8,907.90 = 2,817/x
  3. Step 3: Cross multiply
    5,942.52x = 8,907.90 × 2,817
  4. Step 4: Simplify right side
    5,942.52x = 25,093,554.30
  5. Step 5: Solve for x
    x = 25,093,554.30/5,942.52
  6. Step 6: Final answer
    x = 4,222.71

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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.