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Finding the Fourth Proportional to 4,607.73, 6,912.96 and 1,832.82

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Solution

The fourth proportional to 4,607.73, 6,912.96 and 1,832.82 is: 2,749.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.73 : 6,912.96 = 1,832.82 : x
  2. Step 2: Convert to fraction form
    4,607.73/6,912.96 = 1,832.82/x
  3. Step 3: Cross multiply
    4,607.73x = 6,912.96 × 1,832.82
  4. Step 4: Simplify right side
    4,607.73x = 12,670,211.35
  5. Step 5: Solve for x
    x = 12,670,211.35/4,607.73
  6. Step 6: Final answer
    x = 2,749.77

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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.