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Finding the Fourth Proportional to 3,747.40, 5,624.70 and 1,900.60

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Solution

The fourth proportional to 3,747.40, 5,624.70 and 1,900.60 is: 2,852.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.40 : 5,624.70 = 1,900.60 : x
  2. Step 2: Convert to fraction form
    3,747.40/5,624.70 = 1,900.60/x
  3. Step 3: Cross multiply
    3,747.40x = 5,624.70 × 1,900.60
  4. Step 4: Simplify right side
    3,747.40x = 10,690,304.82
  5. Step 5: Solve for x
    x = 10,690,304.82/3,747.40
  6. Step 6: Final answer
    x = 2,852.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.