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Finding the Fourth Proportional to 5,826.70, 8,730.33 and 4,092.22

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Solution

The fourth proportional to 5,826.70, 8,730.33 and 4,092.22 is: 6,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,826.70 : 8,730.33 = 4,092.22 : x
  2. Step 2: Convert to fraction form
    5,826.70/8,730.33 = 4,092.22/x
  3. Step 3: Cross multiply
    5,826.70x = 8,730.33 × 4,092.22
  4. Step 4: Simplify right side
    5,826.70x = 35,726,431.03
  5. Step 5: Solve for x
    x = 35,726,431.03/5,826.70
  6. Step 6: Final answer
    x = 6,131.50

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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.