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Finding the Fourth Proportional to 3,649.43, 5,035.92 and 2,157.06

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Solution

The fourth proportional to 3,649.43, 5,035.92 and 2,157.06 is: 2,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.43 : 5,035.92 = 2,157.06 : x
  2. Step 2: Convert to fraction form
    3,649.43/5,035.92 = 2,157.06/x
  3. Step 3: Cross multiply
    3,649.43x = 5,035.92 × 2,157.06
  4. Step 4: Simplify right side
    3,649.43x = 10,862,781.60
  5. Step 5: Solve for x
    x = 10,862,781.60/3,649.43
  6. Step 6: Final answer
    x = 2,976.57

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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.