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Finding the Fourth Proportional to 3,629.82, 5,445.30 and 1,438.50

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Solution

The fourth proportional to 3,629.82, 5,445.30 and 1,438.50 is: 2,157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.82 : 5,445.30 = 1,438.50 : x
  2. Step 2: Convert to fraction form
    3,629.82/5,445.30 = 1,438.50/x
  3. Step 3: Cross multiply
    3,629.82x = 5,445.30 × 1,438.50
  4. Step 4: Simplify right side
    3,629.82x = 7,833,064.05
  5. Step 5: Solve for x
    x = 7,833,064.05/3,629.82
  6. Step 6: Final answer
    x = 2,157.98

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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.