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Finding the Fourth Proportional to 5,383.16, 8,074.90 and 2,303.16

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Solution

The fourth proportional to 5,383.16, 8,074.90 and 2,303.16 is: 3,454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.16 : 8,074.90 = 2,303.16 : x
  2. Step 2: Convert to fraction form
    5,383.16/8,074.90 = 2,303.16/x
  3. Step 3: Cross multiply
    5,383.16x = 8,074.90 × 2,303.16
  4. Step 4: Simplify right side
    5,383.16x = 18,597,786.68
  5. Step 5: Solve for x
    x = 18,597,786.68/5,383.16
  6. Step 6: Final answer
    x = 3,454.81

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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.