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Finding the Fourth Proportional to 3,729.70, 5,144.88 and 2,157.58

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Solution

The fourth proportional to 3,729.70, 5,144.88 and 2,157.58 is: 2,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.70 : 5,144.88 = 2,157.58 : x
  2. Step 2: Convert to fraction form
    3,729.70/5,144.88 = 2,157.58/x
  3. Step 3: Cross multiply
    3,729.70x = 5,144.88 × 2,157.58
  4. Step 4: Simplify right side
    3,729.70x = 11,100,490.19
  5. Step 5: Solve for x
    x = 11,100,490.19/3,729.70
  6. Step 6: Final answer
    x = 2,976.24

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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.