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Finding the Fourth Proportional to 3,906.57, 5,851.02 and 3,022.86

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Solution

The fourth proportional to 3,906.57, 5,851.02 and 3,022.86 is: 4,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.57 : 5,851.02 = 3,022.86 : x
  2. Step 2: Convert to fraction form
    3,906.57/5,851.02 = 3,022.86/x
  3. Step 3: Cross multiply
    3,906.57x = 5,851.02 × 3,022.86
  4. Step 4: Simplify right side
    3,906.57x = 17,686,814.32
  5. Step 5: Solve for x
    x = 17,686,814.32/3,906.57
  6. Step 6: Final answer
    x = 4,527.45

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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.