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Finding the Fourth Proportional to 5,846.14, 8,772.77 and 3,074.79

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Solution

The fourth proportional to 5,846.14, 8,772.77 and 3,074.79 is: 4,614.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.14 : 8,772.77 = 3,074.79 : x
  2. Step 2: Convert to fraction form
    5,846.14/8,772.77 = 3,074.79/x
  3. Step 3: Cross multiply
    5,846.14x = 8,772.77 × 3,074.79
  4. Step 4: Simplify right side
    5,846.14x = 26,974,466.05
  5. Step 5: Solve for x
    x = 26,974,466.05/5,846.14
  6. Step 6: Final answer
    x = 4,614.06

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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.