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Finding the Fourth Proportional to 3,754.72, 5,181.23 and 2,075.96

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Solution

The fourth proportional to 3,754.72, 5,181.23 and 2,075.96 is: 2,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.72 : 5,181.23 = 2,075.96 : x
  2. Step 2: Convert to fraction form
    3,754.72/5,181.23 = 2,075.96/x
  3. Step 3: Cross multiply
    3,754.72x = 5,181.23 × 2,075.96
  4. Step 4: Simplify right side
    3,754.72x = 10,756,044.37
  5. Step 5: Solve for x
    x = 10,756,044.37/3,754.72
  6. Step 6: Final answer
    x = 2,864.67

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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.