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Finding the Fourth Proportional to 3,684.21, 5,084.88 and 2,193

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Solution

The fourth proportional to 3,684.21, 5,084.88 and 2,193 is: 3,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.21 : 5,084.88 = 2,193 : x
  2. Step 2: Convert to fraction form
    3,684.21/5,084.88 = 2,193/x
  3. Step 3: Cross multiply
    3,684.21x = 5,084.88 × 2,193
  4. Step 4: Simplify right side
    3,684.21x = 11,151,141.84
  5. Step 5: Solve for x
    x = 11,151,141.84/3,684.21
  6. Step 6: Final answer
    x = 3,026.74

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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.