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Finding the Fourth Proportional to 5,827.26, 8,726.31 and 3,873.54

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Solution

The fourth proportional to 5,827.26, 8,726.31 and 3,873.54 is: 5,800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.26 : 8,726.31 = 3,873.54 : x
  2. Step 2: Convert to fraction form
    5,827.26/8,726.31 = 3,873.54/x
  3. Step 3: Cross multiply
    5,827.26x = 8,726.31 × 3,873.54
  4. Step 4: Simplify right side
    5,827.26x = 33,801,710.84
  5. Step 5: Solve for x
    x = 33,801,710.84/5,827.26
  6. Step 6: Final answer
    x = 5,800.62

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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.