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Finding the Fourth Proportional to 3,232.21, 4,848.32 and 892.23

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Solution

The fourth proportional to 3,232.21, 4,848.32 and 892.23 is: 1,338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.21 : 4,848.32 = 892.23 : x
  2. Step 2: Convert to fraction form
    3,232.21/4,848.32 = 892.23/x
  3. Step 3: Cross multiply
    3,232.21x = 4,848.32 × 892.23
  4. Step 4: Simplify right side
    3,232.21x = 4,325,816.55
  5. Step 5: Solve for x
    x = 4,325,816.55/3,232.21
  6. Step 6: Final answer
    x = 1,338.35

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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.