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Finding the Fourth Proportional to 3,859.88, 5,778.96 and 3,212.96

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Solution

The fourth proportional to 3,859.88, 5,778.96 and 3,212.96 is: 4,810.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.88 : 5,778.96 = 3,212.96 : x
  2. Step 2: Convert to fraction form
    3,859.88/5,778.96 = 3,212.96/x
  3. Step 3: Cross multiply
    3,859.88x = 5,778.96 × 3,212.96
  4. Step 4: Simplify right side
    3,859.88x = 18,567,567.32
  5. Step 5: Solve for x
    x = 18,567,567.32/3,859.88
  6. Step 6: Final answer
    x = 4,810.40

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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.