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Finding the Fourth Proportional to 5,974.36, 8,241.96 and 3,878.08

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Solution

The fourth proportional to 5,974.36, 8,241.96 and 3,878.08 is: 5,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.36 : 8,241.96 = 3,878.08 : x
  2. Step 2: Convert to fraction form
    5,974.36/8,241.96 = 3,878.08/x
  3. Step 3: Cross multiply
    5,974.36x = 8,241.96 × 3,878.08
  4. Step 4: Simplify right side
    5,974.36x = 31,962,980.24
  5. Step 5: Solve for x
    x = 31,962,980.24/5,974.36
  6. Step 6: Final answer
    x = 5,350.03

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Why These Related Problems?

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