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Finding the Fourth Proportional to 3,832.32, 5,747.04 and 1,885.44

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Solution

The fourth proportional to 3,832.32, 5,747.04 and 1,885.44 is: 2,827.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.32 : 5,747.04 = 1,885.44 : x
  2. Step 2: Convert to fraction form
    3,832.32/5,747.04 = 1,885.44/x
  3. Step 3: Cross multiply
    3,832.32x = 5,747.04 × 1,885.44
  4. Step 4: Simplify right side
    3,832.32x = 10,835,699.10
  5. Step 5: Solve for x
    x = 10,835,699.10/3,832.32
  6. Step 6: Final answer
    x = 2,827.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.