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Finding the Fourth Proportional to 4,489.47, 6,720.36 and 4,106.73

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Solution

The fourth proportional to 4,489.47, 6,720.36 and 4,106.73 is: 6,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.47 : 6,720.36 = 4,106.73 : x
  2. Step 2: Convert to fraction form
    4,489.47/6,720.36 = 4,106.73/x
  3. Step 3: Cross multiply
    4,489.47x = 6,720.36 × 4,106.73
  4. Step 4: Simplify right side
    4,489.47x = 27,598,704.02
  5. Step 5: Solve for x
    x = 27,598,704.02/4,489.47
  6. Step 6: Final answer
    x = 6,147.43

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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.