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Finding the Fourth Proportional to 3,741.02, 5,162.80 and 2,169.14

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Solution

The fourth proportional to 3,741.02, 5,162.80 and 2,169.14 is: 2,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.02 : 5,162.80 = 2,169.14 : x
  2. Step 2: Convert to fraction form
    3,741.02/5,162.80 = 2,169.14/x
  3. Step 3: Cross multiply
    3,741.02x = 5,162.80 × 2,169.14
  4. Step 4: Simplify right side
    3,741.02x = 11,198,835.99
  5. Step 5: Solve for x
    x = 11,198,835.99/3,741.02
  6. Step 6: Final answer
    x = 2,993.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.