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Finding the Fourth Proportional to 5,205.92, 7,808.38 and 2,865.16

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Solution

The fourth proportional to 5,205.92, 7,808.38 and 2,865.16 is: 4,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.92 : 7,808.38 = 2,865.16 : x
  2. Step 2: Convert to fraction form
    5,205.92/7,808.38 = 2,865.16/x
  3. Step 3: Cross multiply
    5,205.92x = 7,808.38 × 2,865.16
  4. Step 4: Simplify right side
    5,205.92x = 22,372,231.36
  5. Step 5: Solve for x
    x = 22,372,231.36/5,205.92
  6. Step 6: Final answer
    x = 4,297.46

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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.