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Finding the Fourth Proportional to 3,906.56, 5,860.14 and 1,133.27

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Solution

The fourth proportional to 3,906.56, 5,860.14 and 1,133.27 is: 1,699.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.56 : 5,860.14 = 1,133.27 : x
  2. Step 2: Convert to fraction form
    3,906.56/5,860.14 = 1,133.27/x
  3. Step 3: Cross multiply
    3,906.56x = 5,860.14 × 1,133.27
  4. Step 4: Simplify right side
    3,906.56x = 6,641,120.86
  5. Step 5: Solve for x
    x = 6,641,120.86/3,906.56
  6. Step 6: Final answer
    x = 1,699.99

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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.