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Finding the Fourth Proportional to 5,826.88, 8,040.49 and 3,468.57

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Solution

The fourth proportional to 5,826.88, 8,040.49 and 3,468.57 is: 4,786.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.88 : 8,040.49 = 3,468.57 : x
  2. Step 2: Convert to fraction form
    5,826.88/8,040.49 = 3,468.57/x
  3. Step 3: Cross multiply
    5,826.88x = 8,040.49 × 3,468.57
  4. Step 4: Simplify right side
    5,826.88x = 27,889,002.40
  5. Step 5: Solve for x
    x = 27,889,002.40/5,826.88
  6. Step 6: Final answer
    x = 4,786.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.