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Finding the Fourth Proportional to 5,142.42, 7,092.63 and 3,629.34

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Solution

The fourth proportional to 5,142.42, 7,092.63 and 3,629.34 is: 5,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.42 : 7,092.63 = 3,629.34 : x
  2. Step 2: Convert to fraction form
    5,142.42/7,092.63 = 3,629.34/x
  3. Step 3: Cross multiply
    5,142.42x = 7,092.63 × 3,629.34
  4. Step 4: Simplify right side
    5,142.42x = 25,741,565.76
  5. Step 5: Solve for x
    x = 25,741,565.76/5,142.42
  6. Step 6: Final answer
    x = 5,005.73

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