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Finding the Fourth Proportional to 3,408.48, 4,704.24 and 3,186.12

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Solution

The fourth proportional to 3,408.48, 4,704.24 and 3,186.12 is: 4,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.48 : 4,704.24 = 3,186.12 : x
  2. Step 2: Convert to fraction form
    3,408.48/4,704.24 = 3,186.12/x
  3. Step 3: Cross multiply
    3,408.48x = 4,704.24 × 3,186.12
  4. Step 4: Simplify right side
    3,408.48x = 14,988,273.15
  5. Step 5: Solve for x
    x = 14,988,273.15/3,408.48
  6. Step 6: Final answer
    x = 4,397.35

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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.