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Finding the Fourth Proportional to 6,182.92, 8,532 and 3,664.90

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Solution

The fourth proportional to 6,182.92, 8,532 and 3,664.90 is: 5,057.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.92 : 8,532 = 3,664.90 : x
  2. Step 2: Convert to fraction form
    6,182.92/8,532 = 3,664.90/x
  3. Step 3: Cross multiply
    6,182.92x = 8,532 × 3,664.90
  4. Step 4: Simplify right side
    6,182.92x = 31,268,926.80
  5. Step 5: Solve for x
    x = 31,268,926.80/6,182.92
  6. Step 6: Final answer
    x = 5,057.31

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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.