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Finding the Fourth Proportional to 3,684.05, 5,077.58 and 3,208.98

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Solution

The fourth proportional to 3,684.05, 5,077.58 and 3,208.98 is: 4,422.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.05 : 5,077.58 = 3,208.98 : x
  2. Step 2: Convert to fraction form
    3,684.05/5,077.58 = 3,208.98/x
  3. Step 3: Cross multiply
    3,684.05x = 5,077.58 × 3,208.98
  4. Step 4: Simplify right side
    3,684.05x = 16,293,836.62
  5. Step 5: Solve for x
    x = 16,293,836.62/3,684.05
  6. Step 6: Final answer
    x = 4,422.81

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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.