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Finding the Fourth Proportional to 5,728.53, 8,595.99 and 3,096

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Solution

The fourth proportional to 5,728.53, 8,595.99 and 3,096 is: 4,645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,728.53 : 8,595.99 = 3,096 : x
  2. Step 2: Convert to fraction form
    5,728.53/8,595.99 = 3,096/x
  3. Step 3: Cross multiply
    5,728.53x = 8,595.99 × 3,096
  4. Step 4: Simplify right side
    5,728.53x = 26,613,185.04
  5. Step 5: Solve for x
    x = 26,613,185.04/5,728.53
  6. Step 6: Final answer
    x = 4,645.73

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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.