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Finding the Fourth Proportional to 3,852.44, 5,778.63 and 2,002.60

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Solution

The fourth proportional to 3,852.44, 5,778.63 and 2,002.60 is: 3,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.44 : 5,778.63 = 2,002.60 : x
  2. Step 2: Convert to fraction form
    3,852.44/5,778.63 = 2,002.60/x
  3. Step 3: Cross multiply
    3,852.44x = 5,778.63 × 2,002.60
  4. Step 4: Simplify right side
    3,852.44x = 11,572,284.44
  5. Step 5: Solve for x
    x = 11,572,284.44/3,852.44
  6. Step 6: Final answer
    x = 3,003.88

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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.