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Finding the Fourth Proportional to 5,847.09, 8,772.18 and 3,072.99

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Solution

The fourth proportional to 5,847.09, 8,772.18 and 3,072.99 is: 4,610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.09 : 8,772.18 = 3,072.99 : x
  2. Step 2: Convert to fraction form
    5,847.09/8,772.18 = 3,072.99/x
  3. Step 3: Cross multiply
    5,847.09x = 8,772.18 × 3,072.99
  4. Step 4: Simplify right side
    5,847.09x = 26,956,821.42
  5. Step 5: Solve for x
    x = 26,956,821.42/5,847.09
  6. Step 6: Final answer
    x = 4,610.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.