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Finding the Fourth Proportional to 5,728.49, 8,596.02 and 3,096.02

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Solution

The fourth proportional to 5,728.49, 8,596.02 and 3,096.02 is: 4,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.49 : 8,596.02 = 3,096.02 : x
  2. Step 2: Convert to fraction form
    5,728.49/8,596.02 = 3,096.02/x
  3. Step 3: Cross multiply
    5,728.49x = 8,596.02 × 3,096.02
  4. Step 4: Simplify right side
    5,728.49x = 26,613,449.84
  5. Step 5: Solve for x
    x = 26,613,449.84/5,728.49
  6. Step 6: Final answer
    x = 4,645.81

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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.