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Finding the Fourth Proportional to 5,803.65, 8,705.05 and 2,105.19

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Solution

The fourth proportional to 5,803.65, 8,705.05 and 2,105.19 is: 3,157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.65 : 8,705.05 = 2,105.19 : x
  2. Step 2: Convert to fraction form
    5,803.65/8,705.05 = 2,105.19/x
  3. Step 3: Cross multiply
    5,803.65x = 8,705.05 × 2,105.19
  4. Step 4: Simplify right side
    5,803.65x = 18,325,778.95
  5. Step 5: Solve for x
    x = 18,325,778.95/5,803.65
  6. Step 6: Final answer
    x = 3,157.63

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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.