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Finding the Fourth Proportional to 3,682.02, 5,084.97 and 3,154.98

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Solution

The fourth proportional to 3,682.02, 5,084.97 and 3,154.98 is: 4,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.02 : 5,084.97 = 3,154.98 : x
  2. Step 2: Convert to fraction form
    3,682.02/5,084.97 = 3,154.98/x
  3. Step 3: Cross multiply
    3,682.02x = 5,084.97 × 3,154.98
  4. Step 4: Simplify right side
    3,682.02x = 16,042,978.65
  5. Step 5: Solve for x
    x = 16,042,978.65/3,682.02
  6. Step 6: Final answer
    x = 4,357.11

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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.