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Finding the Fourth Proportional to 3,408.99, 4,704.59 and 2,272.70

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Solution

The fourth proportional to 3,408.99, 4,704.59 and 2,272.70 is: 3,136.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.99 : 4,704.59 = 2,272.70 : x
  2. Step 2: Convert to fraction form
    3,408.99/4,704.59 = 2,272.70/x
  3. Step 3: Cross multiply
    3,408.99x = 4,704.59 × 2,272.70
  4. Step 4: Simplify right side
    3,408.99x = 10,692,109.25
  5. Step 5: Solve for x
    x = 10,692,109.25/3,408.99
  6. Step 6: Final answer
    x = 3,136.45

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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.