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Finding the Fourth Proportional to 3,884.50, 5,360.70 and 2,205.64

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Solution

The fourth proportional to 3,884.50, 5,360.70 and 2,205.64 is: 3,043.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.50 : 5,360.70 = 2,205.64 : x
  2. Step 2: Convert to fraction form
    3,884.50/5,360.70 = 2,205.64/x
  3. Step 3: Cross multiply
    3,884.50x = 5,360.70 × 2,205.64
  4. Step 4: Simplify right side
    3,884.50x = 11,823,774.35
  5. Step 5: Solve for x
    x = 11,823,774.35/3,884.50
  6. Step 6: Final answer
    x = 3,043.83

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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.