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Finding the Fourth Proportional to 4,284, 5,907.87 and 2,793.06

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Solution

The fourth proportional to 4,284, 5,907.87 and 2,793.06 is: 3,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284 : 5,907.87 = 2,793.06 : x
  2. Step 2: Convert to fraction form
    4,284/5,907.87 = 2,793.06/x
  3. Step 3: Cross multiply
    4,284x = 5,907.87 × 2,793.06
  4. Step 4: Simplify right side
    4,284x = 16,501,035.38
  5. Step 5: Solve for x
    x = 16,501,035.38/4,284
  6. Step 6: Final answer
    x = 3,851.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.