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Finding the Fourth Proportional to 5,883.82, 8,826.12 and 2,185.96

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Solution

The fourth proportional to 5,883.82, 8,826.12 and 2,185.96 is: 3,279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.82 : 8,826.12 = 2,185.96 : x
  2. Step 2: Convert to fraction form
    5,883.82/8,826.12 = 2,185.96/x
  3. Step 3: Cross multiply
    5,883.82x = 8,826.12 × 2,185.96
  4. Step 4: Simplify right side
    5,883.82x = 19,293,545.28
  5. Step 5: Solve for x
    x = 19,293,545.28/5,883.82
  6. Step 6: Final answer
    x = 3,279.08

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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.