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Finding the Fourth Proportional to 4,093.26, 5,648.16 and 2,300.86

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Solution

The fourth proportional to 4,093.26, 5,648.16 and 2,300.86 is: 3,174.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.26 : 5,648.16 = 2,300.86 : x
  2. Step 2: Convert to fraction form
    4,093.26/5,648.16 = 2,300.86/x
  3. Step 3: Cross multiply
    4,093.26x = 5,648.16 × 2,300.86
  4. Step 4: Simplify right side
    4,093.26x = 12,995,625.42
  5. Step 5: Solve for x
    x = 12,995,625.42/4,093.26
  6. Step 6: Final answer
    x = 3,174.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.