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Finding the Fourth Proportional to 4,094.64, 6,136.47 and 3,832.20

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Solution

The fourth proportional to 4,094.64, 6,136.47 and 3,832.20 is: 5,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.64 : 6,136.47 = 3,832.20 : x
  2. Step 2: Convert to fraction form
    4,094.64/6,136.47 = 3,832.20/x
  3. Step 3: Cross multiply
    4,094.64x = 6,136.47 × 3,832.20
  4. Step 4: Simplify right side
    4,094.64x = 23,516,180.33
  5. Step 5: Solve for x
    x = 23,516,180.33/4,094.64
  6. Step 6: Final answer
    x = 5,743.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.