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Finding the Fourth Proportional to 3,865.36, 5,793.72 and 1,670.80

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Solution

The fourth proportional to 3,865.36, 5,793.72 and 1,670.80 is: 2,504.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.36 : 5,793.72 = 1,670.80 : x
  2. Step 2: Convert to fraction form
    3,865.36/5,793.72 = 1,670.80/x
  3. Step 3: Cross multiply
    3,865.36x = 5,793.72 × 1,670.80
  4. Step 4: Simplify right side
    3,865.36x = 9,680,147.38
  5. Step 5: Solve for x
    x = 9,680,147.38/3,865.36
  6. Step 6: Final answer
    x = 2,504.33

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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.