Home / 3,827.84-5,743.74-1,635.98

Finding the Fourth Proportional to 3,827.84, 5,743.74 and 1,635.98

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Solution

The fourth proportional to 3,827.84, 5,743.74 and 1,635.98 is: 2,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.84 : 5,743.74 = 1,635.98 : x
  2. Step 2: Convert to fraction form
    3,827.84/5,743.74 = 1,635.98/x
  3. Step 3: Cross multiply
    3,827.84x = 5,743.74 × 1,635.98
  4. Step 4: Simplify right side
    3,827.84x = 9,396,615.05
  5. Step 5: Solve for x
    x = 9,396,615.05/3,827.84
  6. Step 6: Final answer
    x = 2,454.81

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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.