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Finding the Fourth Proportional to 4,846.84, 7,257.30 and 4,103.80

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Solution

The fourth proportional to 4,846.84, 7,257.30 and 4,103.80 is: 6,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.84 : 7,257.30 = 4,103.80 : x
  2. Step 2: Convert to fraction form
    4,846.84/7,257.30 = 4,103.80/x
  3. Step 3: Cross multiply
    4,846.84x = 7,257.30 × 4,103.80
  4. Step 4: Simplify right side
    4,846.84x = 29,782,507.74
  5. Step 5: Solve for x
    x = 29,782,507.74/4,846.84
  6. Step 6: Final answer
    x = 6,144.73

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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.