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Finding the Fourth Proportional to 6,183.52, 8,532 and 3,664.52

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Solution

The fourth proportional to 6,183.52, 8,532 and 3,664.52 is: 5,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,183.52 : 8,532 = 3,664.52 : x
  2. Step 2: Convert to fraction form
    6,183.52/8,532 = 3,664.52/x
  3. Step 3: Cross multiply
    6,183.52x = 8,532 × 3,664.52
  4. Step 4: Simplify right side
    6,183.52x = 31,265,684.64
  5. Step 5: Solve for x
    x = 31,265,684.64/6,183.52
  6. Step 6: Final answer
    x = 5,056.29

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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.