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Finding the Fourth Proportional to 4,846.59, 6,679.48 and 3,783.80

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Solution

The fourth proportional to 4,846.59, 6,679.48 and 3,783.80 is: 5,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.59 : 6,679.48 = 3,783.80 : x
  2. Step 2: Convert to fraction form
    4,846.59/6,679.48 = 3,783.80/x
  3. Step 3: Cross multiply
    4,846.59x = 6,679.48 × 3,783.80
  4. Step 4: Simplify right side
    4,846.59x = 25,273,806.96
  5. Step 5: Solve for x
    x = 25,273,806.96/4,846.59
  6. Step 6: Final answer
    x = 5,214.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.