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Finding the Fourth Proportional to 3,855.40, 5,779.04 and 2,208.40

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Solution

The fourth proportional to 3,855.40, 5,779.04 and 2,208.40 is: 3,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.40 : 5,779.04 = 2,208.40 : x
  2. Step 2: Convert to fraction form
    3,855.40/5,779.04 = 2,208.40/x
  3. Step 3: Cross multiply
    3,855.40x = 5,779.04 × 2,208.40
  4. Step 4: Simplify right side
    3,855.40x = 12,762,431.94
  5. Step 5: Solve for x
    x = 12,762,431.94/3,855.40
  6. Step 6: Final answer
    x = 3,310.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.