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Finding the Fourth Proportional to 4,939.40, 7,409.26 and 2,164.68

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Solution

The fourth proportional to 4,939.40, 7,409.26 and 2,164.68 is: 3,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.40 : 7,409.26 = 2,164.68 : x
  2. Step 2: Convert to fraction form
    4,939.40/7,409.26 = 2,164.68/x
  3. Step 3: Cross multiply
    4,939.40x = 7,409.26 × 2,164.68
  4. Step 4: Simplify right side
    4,939.40x = 16,038,676.94
  5. Step 5: Solve for x
    x = 16,038,676.94/4,939.40
  6. Step 6: Final answer
    x = 3,247.09

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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.