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Finding the Fourth Proportional to 3,720.54, 5,134.43 and 2,105.32

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Solution

The fourth proportional to 3,720.54, 5,134.43 and 2,105.32 is: 2,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.54 : 5,134.43 = 2,105.32 : x
  2. Step 2: Convert to fraction form
    3,720.54/5,134.43 = 2,105.32/x
  3. Step 3: Cross multiply
    3,720.54x = 5,134.43 × 2,105.32
  4. Step 4: Simplify right side
    3,720.54x = 10,809,618.17
  5. Step 5: Solve for x
    x = 10,809,618.17/3,720.54
  6. Step 6: Final answer
    x = 2,905.39

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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.