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Finding the Fourth Proportional to 3,852.57, 5,778.86 and 2,207.99

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Solution

The fourth proportional to 3,852.57, 5,778.86 and 2,207.99 is: 3,311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.57 : 5,778.86 = 2,207.99 : x
  2. Step 2: Convert to fraction form
    3,852.57/5,778.86 = 2,207.99/x
  3. Step 3: Cross multiply
    3,852.57x = 5,778.86 × 2,207.99
  4. Step 4: Simplify right side
    3,852.57x = 12,759,625.16
  5. Step 5: Solve for x
    x = 12,759,625.16/3,852.57
  6. Step 6: Final answer
    x = 3,311.98

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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.