Home / 3,827.66-5,743.68-2,072.70

Finding the Fourth Proportional to 3,827.66, 5,743.68 and 2,072.70

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Solution

The fourth proportional to 3,827.66, 5,743.68 and 2,072.70 is: 3,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.66 : 5,743.68 = 2,072.70 : x
  2. Step 2: Convert to fraction form
    3,827.66/5,743.68 = 2,072.70/x
  3. Step 3: Cross multiply
    3,827.66x = 5,743.68 × 2,072.70
  4. Step 4: Simplify right side
    3,827.66x = 11,904,925.54
  5. Step 5: Solve for x
    x = 11,904,925.54/3,827.66
  6. Step 6: Final answer
    x = 3,110.24

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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.