Home / 3,852.24-5,781.60-2,004

Finding the Fourth Proportional to 3,852.24, 5,781.60 and 2,004

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Solution

The fourth proportional to 3,852.24, 5,781.60 and 2,004 is: 3,007.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.24 : 5,781.60 = 2,004 : x
  2. Step 2: Convert to fraction form
    3,852.24/5,781.60 = 2,004/x
  3. Step 3: Cross multiply
    3,852.24x = 5,781.60 × 2,004
  4. Step 4: Simplify right side
    3,852.24x = 11,586,326.40
  5. Step 5: Solve for x
    x = 11,586,326.40/3,852.24
  6. Step 6: Final answer
    x = 3,007.69

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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.