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Finding the Fourth Proportional to 5,865.44, 8,797.82 and 1,705.37

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Solution

The fourth proportional to 5,865.44, 8,797.82 and 1,705.37 is: 2,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.44 : 8,797.82 = 1,705.37 : x
  2. Step 2: Convert to fraction form
    5,865.44/8,797.82 = 1,705.37/x
  3. Step 3: Cross multiply
    5,865.44x = 8,797.82 × 1,705.37
  4. Step 4: Simplify right side
    5,865.44x = 15,003,485.78
  5. Step 5: Solve for x
    x = 15,003,485.78/5,865.44
  6. Step 6: Final answer
    x = 2,557.95

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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.