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Finding the Fourth Proportional to 3,815.88, 5,724.90 and 1,219.02

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Solution

The fourth proportional to 3,815.88, 5,724.90 and 1,219.02 is: 1,828.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.88 : 5,724.90 = 1,219.02 : x
  2. Step 2: Convert to fraction form
    3,815.88/5,724.90 = 1,219.02/x
  3. Step 3: Cross multiply
    3,815.88x = 5,724.90 × 1,219.02
  4. Step 4: Simplify right side
    3,815.88x = 6,978,767.60
  5. Step 5: Solve for x
    x = 6,978,767.60/3,815.88
  6. Step 6: Final answer
    x = 1,828.88

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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.