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Finding the Fourth Proportional to 5,149.42, 7,102.43 and 3,380.38

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Solution

The fourth proportional to 5,149.42, 7,102.43 and 3,380.38 is: 4,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.42 : 7,102.43 = 3,380.38 : x
  2. Step 2: Convert to fraction form
    5,149.42/7,102.43 = 3,380.38/x
  3. Step 3: Cross multiply
    5,149.42x = 7,102.43 × 3,380.38
  4. Step 4: Simplify right side
    5,149.42x = 24,008,895.42
  5. Step 5: Solve for x
    x = 24,008,895.42/5,149.42
  6. Step 6: Final answer
    x = 4,662.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.