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Finding the Fourth Proportional to 4,138.47, 5,704.92 and 3,020.67

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Solution

The fourth proportional to 4,138.47, 5,704.92 and 3,020.67 is: 4,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.47 : 5,704.92 = 3,020.67 : x
  2. Step 2: Convert to fraction form
    4,138.47/5,704.92 = 3,020.67/x
  3. Step 3: Cross multiply
    4,138.47x = 5,704.92 × 3,020.67
  4. Step 4: Simplify right side
    4,138.47x = 17,232,680.70
  5. Step 5: Solve for x
    x = 17,232,680.70/4,138.47
  6. Step 6: Final answer
    x = 4,164.02

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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.