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Finding the Fourth Proportional to 5,466.70, 8,204.10 and 2,182.15

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Solution

The fourth proportional to 5,466.70, 8,204.10 and 2,182.15 is: 3,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466.70 : 8,204.10 = 2,182.15 : x
  2. Step 2: Convert to fraction form
    5,466.70/8,204.10 = 2,182.15/x
  3. Step 3: Cross multiply
    5,466.70x = 8,204.10 × 2,182.15
  4. Step 4: Simplify right side
    5,466.70x = 17,902,576.82
  5. Step 5: Solve for x
    x = 17,902,576.82/5,466.70
  6. Step 6: Final answer
    x = 3,274.84

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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.