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Finding the Fourth Proportional to 4,012.53, 6,020.02 and 1,820.67

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Solution

The fourth proportional to 4,012.53, 6,020.02 and 1,820.67 is: 2,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.53 : 6,020.02 = 1,820.67 : x
  2. Step 2: Convert to fraction form
    4,012.53/6,020.02 = 1,820.67/x
  3. Step 3: Cross multiply
    4,012.53x = 6,020.02 × 1,820.67
  4. Step 4: Simplify right side
    4,012.53x = 10,960,469.81
  5. Step 5: Solve for x
    x = 10,960,469.81/4,012.53
  6. Step 6: Final answer
    x = 2,731.56

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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.