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Finding the Fourth Proportional to 4,768.94, 6,566.44 and 4,236.91

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Solution

The fourth proportional to 4,768.94, 6,566.44 and 4,236.91 is: 5,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.94 : 6,566.44 = 4,236.91 : x
  2. Step 2: Convert to fraction form
    4,768.94/6,566.44 = 4,236.91/x
  3. Step 3: Cross multiply
    4,768.94x = 6,566.44 × 4,236.91
  4. Step 4: Simplify right side
    4,768.94x = 27,821,408.15
  5. Step 5: Solve for x
    x = 27,821,408.15/4,768.94
  6. Step 6: Final answer
    x = 5,833.87

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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.