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Finding the Fourth Proportional to 3,728.34, 5,145.18 and 2,049.84

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Solution

The fourth proportional to 3,728.34, 5,145.18 and 2,049.84 is: 2,828.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.34 : 5,145.18 = 2,049.84 : x
  2. Step 2: Convert to fraction form
    3,728.34/5,145.18 = 2,049.84/x
  3. Step 3: Cross multiply
    3,728.34x = 5,145.18 × 2,049.84
  4. Step 4: Simplify right side
    3,728.34x = 10,546,795.77
  5. Step 5: Solve for x
    x = 10,546,795.77/3,728.34
  6. Step 6: Final answer
    x = 2,828.82

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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.