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Finding the Fourth Proportional to 3,321.86, 4,584 and 1,905.27

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Solution

The fourth proportional to 3,321.86, 4,584 and 1,905.27 is: 2,629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.86 : 4,584 = 1,905.27 : x
  2. Step 2: Convert to fraction form
    3,321.86/4,584 = 1,905.27/x
  3. Step 3: Cross multiply
    3,321.86x = 4,584 × 1,905.27
  4. Step 4: Simplify right side
    3,321.86x = 8,733,757.68
  5. Step 5: Solve for x
    x = 8,733,757.68/3,321.86
  6. Step 6: Final answer
    x = 2,629.18

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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.