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Finding the Fourth Proportional to 3,216.42, 4,823.90 and 908.10

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Solution

The fourth proportional to 3,216.42, 4,823.90 and 908.10 is: 1,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.42 : 4,823.90 = 908.10 : x
  2. Step 2: Convert to fraction form
    3,216.42/4,823.90 = 908.10/x
  3. Step 3: Cross multiply
    3,216.42x = 4,823.90 × 908.10
  4. Step 4: Simplify right side
    3,216.42x = 4,380,583.59
  5. Step 5: Solve for x
    x = 4,380,583.59/3,216.42
  6. Step 6: Final answer
    x = 1,361.94

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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.