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Finding the Fourth Proportional to 4,617.72, 6,930.52 and 1,846.34

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Solution

The fourth proportional to 4,617.72, 6,930.52 and 1,846.34 is: 2,771.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.72 : 6,930.52 = 1,846.34 : x
  2. Step 2: Convert to fraction form
    4,617.72/6,930.52 = 1,846.34/x
  3. Step 3: Cross multiply
    4,617.72x = 6,930.52 × 1,846.34
  4. Step 4: Simplify right side
    4,617.72x = 12,796,096.30
  5. Step 5: Solve for x
    x = 12,796,096.30/4,617.72
  6. Step 6: Final answer
    x = 2,771.09

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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.