Home / 3,827.00-5,733.13-2,842.14

Finding the Fourth Proportional to 3,827.00, 5,733.13 and 2,842.14

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Solution

The fourth proportional to 3,827.00, 5,733.13 and 2,842.14 is: 4,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.00 : 5,733.13 = 2,842.14 : x
  2. Step 2: Convert to fraction form
    3,827.00/5,733.13 = 2,842.14/x
  3. Step 3: Cross multiply
    3,827.00x = 5,733.13 × 2,842.14
  4. Step 4: Simplify right side
    3,827.00x = 16,294,345.57
  5. Step 5: Solve for x
    x = 16,294,345.57/3,827.00
  6. Step 6: Final answer
    x = 4,257.74

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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.