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Finding the Fourth Proportional to 5,847.54, 8,069.62 and 3,195

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Solution

The fourth proportional to 5,847.54, 8,069.62 and 3,195 is: 4,409.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.54 : 8,069.62 = 3,195 : x
  2. Step 2: Convert to fraction form
    5,847.54/8,069.62 = 3,195/x
  3. Step 3: Cross multiply
    5,847.54x = 8,069.62 × 3,195
  4. Step 4: Simplify right side
    5,847.54x = 25,782,435.90
  5. Step 5: Solve for x
    x = 25,782,435.90/5,847.54
  6. Step 6: Final answer
    x = 4,409.11

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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.