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Finding the Fourth Proportional to 4,443.67, 6,664.11 and 1,846

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Solution

The fourth proportional to 4,443.67, 6,664.11 and 1,846 is: 2,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,443.67 : 6,664.11 = 1,846 : x
  2. Step 2: Convert to fraction form
    4,443.67/6,664.11 = 1,846/x
  3. Step 3: Cross multiply
    4,443.67x = 6,664.11 × 1,846
  4. Step 4: Simplify right side
    4,443.67x = 12,301,947.06
  5. Step 5: Solve for x
    x = 12,301,947.06/4,443.67
  6. Step 6: Final answer
    x = 2,768.42

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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.