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Finding the Fourth Proportional to 3,832.02, 5,745.90 and 1,490.58

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Solution

The fourth proportional to 3,832.02, 5,745.90 and 1,490.58 is: 2,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.02 : 5,745.90 = 1,490.58 : x
  2. Step 2: Convert to fraction form
    3,832.02/5,745.90 = 1,490.58/x
  3. Step 3: Cross multiply
    3,832.02x = 5,745.90 × 1,490.58
  4. Step 4: Simplify right side
    3,832.02x = 8,564,723.62
  5. Step 5: Solve for x
    x = 8,564,723.62/3,832.02
  6. Step 6: Final answer
    x = 2,235.04

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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.