Home / 3,827.80-5,743.44-2,270.88

Finding the Fourth Proportional to 3,827.80, 5,743.44 and 2,270.88

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Solution

The fourth proportional to 3,827.80, 5,743.44 and 2,270.88 is: 3,407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.80 : 5,743.44 = 2,270.88 : x
  2. Step 2: Convert to fraction form
    3,827.80/5,743.44 = 2,270.88/x
  3. Step 3: Cross multiply
    3,827.80x = 5,743.44 × 2,270.88
  4. Step 4: Simplify right side
    3,827.80x = 13,042,663.03
  5. Step 5: Solve for x
    x = 13,042,663.03/3,827.80
  6. Step 6: Final answer
    x = 3,407.35

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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.