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Finding the Fourth Proportional to 3,782.36, 5,675.16 and 1,475.48

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Solution

The fourth proportional to 3,782.36, 5,675.16 and 1,475.48 is: 2,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.36 : 5,675.16 = 1,475.48 : x
  2. Step 2: Convert to fraction form
    3,782.36/5,675.16 = 1,475.48/x
  3. Step 3: Cross multiply
    3,782.36x = 5,675.16 × 1,475.48
  4. Step 4: Simplify right side
    3,782.36x = 8,373,585.08
  5. Step 5: Solve for x
    x = 8,373,585.08/3,782.36
  6. Step 6: Final answer
    x = 2,213.85

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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.