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Finding the Fourth Proportional to 3,804, 5,249.64 and 2,125.48

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Solution

The fourth proportional to 3,804, 5,249.64 and 2,125.48 is: 2,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804 : 5,249.64 = 2,125.48 : x
  2. Step 2: Convert to fraction form
    3,804/5,249.64 = 2,125.48/x
  3. Step 3: Cross multiply
    3,804x = 5,249.64 × 2,125.48
  4. Step 4: Simplify right side
    3,804x = 11,157,994.20
  5. Step 5: Solve for x
    x = 11,157,994.20/3,804
  6. Step 6: Final answer
    x = 2,933.23

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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.