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Finding the Fourth Proportional to 3,832.52, 5,783.24 and 3,695.24

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Solution

The fourth proportional to 3,832.52, 5,783.24 and 3,695.24 is: 5,576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.52 : 5,783.24 = 3,695.24 : x
  2. Step 2: Convert to fraction form
    3,832.52/5,783.24 = 3,695.24/x
  3. Step 3: Cross multiply
    3,832.52x = 5,783.24 × 3,695.24
  4. Step 4: Simplify right side
    3,832.52x = 21,370,459.78
  5. Step 5: Solve for x
    x = 21,370,459.78/3,832.52
  6. Step 6: Final answer
    x = 5,576.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.