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Finding the Fourth Proportional to 4,846.83, 7,266.56 and 2,505.80

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Solution

The fourth proportional to 4,846.83, 7,266.56 and 2,505.80 is: 3,756.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.83 : 7,266.56 = 2,505.80 : x
  2. Step 2: Convert to fraction form
    4,846.83/7,266.56 = 2,505.80/x
  3. Step 3: Cross multiply
    4,846.83x = 7,266.56 × 2,505.80
  4. Step 4: Simplify right side
    4,846.83x = 18,208,497.19
  5. Step 5: Solve for x
    x = 18,208,497.19/4,846.83
  6. Step 6: Final answer
    x = 3,756.78

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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.