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Finding the Fourth Proportional to 3,832.61, 5,742.54 and 2,907.09

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Solution

The fourth proportional to 3,832.61, 5,742.54 and 2,907.09 is: 4,355.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.61 : 5,742.54 = 2,907.09 : x
  2. Step 2: Convert to fraction form
    3,832.61/5,742.54 = 2,907.09/x
  3. Step 3: Cross multiply
    3,832.61x = 5,742.54 × 2,907.09
  4. Step 4: Simplify right side
    3,832.61x = 16,694,037.36
  5. Step 5: Solve for x
    x = 16,694,037.36/3,832.61
  6. Step 6: Final answer
    x = 4,355.79

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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.