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Finding the Fourth Proportional to 6,214.90, 8,576.74 and 3,382.46

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Solution

The fourth proportional to 6,214.90, 8,576.74 and 3,382.46 is: 4,667.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.90 : 8,576.74 = 3,382.46 : x
  2. Step 2: Convert to fraction form
    6,214.90/8,576.74 = 3,382.46/x
  3. Step 3: Cross multiply
    6,214.90x = 8,576.74 × 3,382.46
  4. Step 4: Simplify right side
    6,214.90x = 29,010,479.98
  5. Step 5: Solve for x
    x = 29,010,479.98/6,214.90
  6. Step 6: Final answer
    x = 4,667.89

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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.