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Finding the Fourth Proportional to 5,282.44, 7,923.54 and 1,819.60

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Solution

The fourth proportional to 5,282.44, 7,923.54 and 1,819.60 is: 2,729.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.44 : 7,923.54 = 1,819.60 : x
  2. Step 2: Convert to fraction form
    5,282.44/7,923.54 = 1,819.60/x
  3. Step 3: Cross multiply
    5,282.44x = 7,923.54 × 1,819.60
  4. Step 4: Simplify right side
    5,282.44x = 14,417,673.38
  5. Step 5: Solve for x
    x = 14,417,673.38/5,282.44
  6. Step 6: Final answer
    x = 2,729.36

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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.