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Finding the Fourth Proportional to 3,858.12, 5,782.32 and 2,764.62

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Solution

The fourth proportional to 3,858.12, 5,782.32 and 2,764.62 is: 4,143.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.12 : 5,782.32 = 2,764.62 : x
  2. Step 2: Convert to fraction form
    3,858.12/5,782.32 = 2,764.62/x
  3. Step 3: Cross multiply
    3,858.12x = 5,782.32 × 2,764.62
  4. Step 4: Simplify right side
    3,858.12x = 15,985,917.52
  5. Step 5: Solve for x
    x = 15,985,917.52/3,858.12
  6. Step 6: Final answer
    x = 4,143.45

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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.