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Finding the Fourth Proportional to 4,093.96, 5,649.82 and 2,325.64

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Solution

The fourth proportional to 4,093.96, 5,649.82 and 2,325.64 is: 3,209.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.96 : 5,649.82 = 2,325.64 : x
  2. Step 2: Convert to fraction form
    4,093.96/5,649.82 = 2,325.64/x
  3. Step 3: Cross multiply
    4,093.96x = 5,649.82 × 2,325.64
  4. Step 4: Simplify right side
    4,093.96x = 13,139,447.38
  5. Step 5: Solve for x
    x = 13,139,447.38/4,093.96
  6. Step 6: Final answer
    x = 3,209.47

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Why These Related Problems?

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