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Finding the Fourth Proportional to 3,782.88, 5,675.04 and 2,050.56

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Solution

The fourth proportional to 3,782.88, 5,675.04 and 2,050.56 is: 3,076.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.88 : 5,675.04 = 2,050.56 : x
  2. Step 2: Convert to fraction form
    3,782.88/5,675.04 = 2,050.56/x
  3. Step 3: Cross multiply
    3,782.88x = 5,675.04 × 2,050.56
  4. Step 4: Simplify right side
    3,782.88x = 11,637,010.02
  5. Step 5: Solve for x
    x = 11,637,010.02/3,782.88
  6. Step 6: Final answer
    x = 3,076.23

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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.