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Finding the Fourth Proportional to 3,729.41, 5,146.02 and 2,157.20

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Solution

The fourth proportional to 3,729.41, 5,146.02 and 2,157.20 is: 2,976.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.41 : 5,146.02 = 2,157.20 : x
  2. Step 2: Convert to fraction form
    3,729.41/5,146.02 = 2,157.20/x
  3. Step 3: Cross multiply
    3,729.41x = 5,146.02 × 2,157.20
  4. Step 4: Simplify right side
    3,729.41x = 11,100,994.34
  5. Step 5: Solve for x
    x = 11,100,994.34/3,729.41
  6. Step 6: Final answer
    x = 2,976.61

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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.