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Finding the Fourth Proportional to 3,825.72, 5,739.12 and 1,977.03

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Solution

The fourth proportional to 3,825.72, 5,739.12 and 1,977.03 is: 2,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.72 : 5,739.12 = 1,977.03 : x
  2. Step 2: Convert to fraction form
    3,825.72/5,739.12 = 1,977.03/x
  3. Step 3: Cross multiply
    3,825.72x = 5,739.12 × 1,977.03
  4. Step 4: Simplify right side
    3,825.72x = 11,346,412.41
  5. Step 5: Solve for x
    x = 11,346,412.41/3,825.72
  6. Step 6: Final answer
    x = 2,965.82

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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.