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Finding the Fourth Proportional to 3,576.96, 5,384.88 and 3,219.75

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Solution

The fourth proportional to 3,576.96, 5,384.88 and 3,219.75 is: 4,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.96 : 5,384.88 = 3,219.75 : x
  2. Step 2: Convert to fraction form
    3,576.96/5,384.88 = 3,219.75/x
  3. Step 3: Cross multiply
    3,576.96x = 5,384.88 × 3,219.75
  4. Step 4: Simplify right side
    3,576.96x = 17,337,967.38
  5. Step 5: Solve for x
    x = 17,337,967.38/3,576.96
  6. Step 6: Final answer
    x = 4,847.12

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.