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Finding the Fourth Proportional to 3,815.84, 5,722.83 and 1,042.38

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Solution

The fourth proportional to 3,815.84, 5,722.83 and 1,042.38 is: 1,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.84 : 5,722.83 = 1,042.38 : x
  2. Step 2: Convert to fraction form
    3,815.84/5,722.83 = 1,042.38/x
  3. Step 3: Cross multiply
    3,815.84x = 5,722.83 × 1,042.38
  4. Step 4: Simplify right side
    3,815.84x = 5,965,363.54
  5. Step 5: Solve for x
    x = 5,965,363.54/3,815.84
  6. Step 6: Final answer
    x = 1,563.31

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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.