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Finding the Fourth Proportional to 5,846.30, 8,772.00 and 3,072.32

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Solution

The fourth proportional to 5,846.30, 8,772.00 and 3,072.32 is: 4,609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.30 : 8,772.00 = 3,072.32 : x
  2. Step 2: Convert to fraction form
    5,846.30/8,772.00 = 3,072.32/x
  3. Step 3: Cross multiply
    5,846.30x = 8,772.00 × 3,072.32
  4. Step 4: Simplify right side
    5,846.30x = 26,950,331.82
  5. Step 5: Solve for x
    x = 26,950,331.82/5,846.30
  6. Step 6: Final answer
    x = 4,609.81

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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.