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Finding the Fourth Proportional to 3,832.44, 5,743.80 and 2,445.30

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Solution

The fourth proportional to 3,832.44, 5,743.80 and 2,445.30 is: 3,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.44 : 5,743.80 = 2,445.30 : x
  2. Step 2: Convert to fraction form
    3,832.44/5,743.80 = 2,445.30/x
  3. Step 3: Cross multiply
    3,832.44x = 5,743.80 × 2,445.30
  4. Step 4: Simplify right side
    3,832.44x = 14,045,314.14
  5. Step 5: Solve for x
    x = 14,045,314.14/3,832.44
  6. Step 6: Final answer
    x = 3,664.85

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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.