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Finding the Fourth Proportional to 3,922.56, 5,405.76 and 3,136.32

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Solution

The fourth proportional to 3,922.56, 5,405.76 and 3,136.32 is: 4,322.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.56 : 5,405.76 = 3,136.32 : x
  2. Step 2: Convert to fraction form
    3,922.56/5,405.76 = 3,136.32/x
  3. Step 3: Cross multiply
    3,922.56x = 5,405.76 × 3,136.32
  4. Step 4: Simplify right side
    3,922.56x = 16,954,193.20
  5. Step 5: Solve for x
    x = 16,954,193.20/3,922.56
  6. Step 6: Final answer
    x = 4,322.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.