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Finding the Fourth Proportional to 3,611.12, 4,984.74 and 3,105

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Solution

The fourth proportional to 3,611.12, 4,984.74 and 3,105 is: 4,286.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.12 : 4,984.74 = 3,105 : x
  2. Step 2: Convert to fraction form
    3,611.12/4,984.74 = 3,105/x
  3. Step 3: Cross multiply
    3,611.12x = 4,984.74 × 3,105
  4. Step 4: Simplify right side
    3,611.12x = 15,477,617.70
  5. Step 5: Solve for x
    x = 15,477,617.70/3,611.12
  6. Step 6: Final answer
    x = 4,286.10

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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.