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Finding the Fourth Proportional to 4,072.96, 5,620.96 and 2,280.60

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Solution

The fourth proportional to 4,072.96, 5,620.96 and 2,280.60 is: 3,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.96 : 5,620.96 = 2,280.60 : x
  2. Step 2: Convert to fraction form
    4,072.96/5,620.96 = 2,280.60/x
  3. Step 3: Cross multiply
    4,072.96x = 5,620.96 × 2,280.60
  4. Step 4: Simplify right side
    4,072.96x = 12,819,161.38
  5. Step 5: Solve for x
    x = 12,819,161.38/4,072.96
  6. Step 6: Final answer
    x = 3,147.38

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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.