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Finding the Fourth Proportional to 4,129.92, 5,699.24 and 2,241.57

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Solution

The fourth proportional to 4,129.92, 5,699.24 and 2,241.57 is: 3,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.92 : 5,699.24 = 2,241.57 : x
  2. Step 2: Convert to fraction form
    4,129.92/5,699.24 = 2,241.57/x
  3. Step 3: Cross multiply
    4,129.92x = 5,699.24 × 2,241.57
  4. Step 4: Simplify right side
    4,129.92x = 12,775,245.41
  5. Step 5: Solve for x
    x = 12,775,245.41/4,129.92
  6. Step 6: Final answer
    x = 3,093.34

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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.