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Finding the Fourth Proportional to 4,723.36, 7,072.14 and 3,408.46

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Solution

The fourth proportional to 4,723.36, 7,072.14 and 3,408.46 is: 5,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.36 : 7,072.14 = 3,408.46 : x
  2. Step 2: Convert to fraction form
    4,723.36/7,072.14 = 3,408.46/x
  3. Step 3: Cross multiply
    4,723.36x = 7,072.14 × 3,408.46
  4. Step 4: Simplify right side
    4,723.36x = 24,105,106.30
  5. Step 5: Solve for x
    x = 24,105,106.30/4,723.36
  6. Step 6: Final answer
    x = 5,103.38

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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.