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Finding the Fourth Proportional to 4,647.12, 6,408.74 and 4,311.78

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Solution

The fourth proportional to 4,647.12, 6,408.74 and 4,311.78 is: 5,946.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.12 : 6,408.74 = 4,311.78 : x
  2. Step 2: Convert to fraction form
    4,647.12/6,408.74 = 4,311.78/x
  3. Step 3: Cross multiply
    4,647.12x = 6,408.74 × 4,311.78
  4. Step 4: Simplify right side
    4,647.12x = 27,633,076.96
  5. Step 5: Solve for x
    x = 27,633,076.96/4,647.12
  6. Step 6: Final answer
    x = 5,946.28

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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.