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Finding the Fourth Proportional to 5,795.82, 8,695.35 and 1,902.96

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Solution

The fourth proportional to 5,795.82, 8,695.35 and 1,902.96 is: 2,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.82 : 8,695.35 = 1,902.96 : x
  2. Step 2: Convert to fraction form
    5,795.82/8,695.35 = 1,902.96/x
  3. Step 3: Cross multiply
    5,795.82x = 8,695.35 × 1,902.96
  4. Step 4: Simplify right side
    5,795.82x = 16,546,893.72
  5. Step 5: Solve for x
    x = 16,546,893.72/5,795.82
  6. Step 6: Final answer
    x = 2,854.97

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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.