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Finding the Fourth Proportional to 4,938.36, 7,410.53 and 2,165.19

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Solution

The fourth proportional to 4,938.36, 7,410.53 and 2,165.19 is: 3,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.36 : 7,410.53 = 2,165.19 : x
  2. Step 2: Convert to fraction form
    4,938.36/7,410.53 = 2,165.19/x
  3. Step 3: Cross multiply
    4,938.36x = 7,410.53 × 2,165.19
  4. Step 4: Simplify right side
    4,938.36x = 16,045,194.62
  5. Step 5: Solve for x
    x = 16,045,194.62/4,938.36
  6. Step 6: Final answer
    x = 3,249.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.