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Finding the Fourth Proportional to 3,316.21, 4,576.43 and 1,824.12

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Solution

The fourth proportional to 3,316.21, 4,576.43 and 1,824.12 is: 2,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.21 : 4,576.43 = 1,824.12 : x
  2. Step 2: Convert to fraction form
    3,316.21/4,576.43 = 1,824.12/x
  3. Step 3: Cross multiply
    3,316.21x = 4,576.43 × 1,824.12
  4. Step 4: Simplify right side
    3,316.21x = 8,347,957.49
  5. Step 5: Solve for x
    x = 8,347,957.49/3,316.21
  6. Step 6: Final answer
    x = 2,517.32

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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.