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Finding the Fourth Proportional to 3,830.72, 5,285.42 and 2,338.54

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Solution

The fourth proportional to 3,830.72, 5,285.42 and 2,338.54 is: 3,226.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.72 : 5,285.42 = 2,338.54 : x
  2. Step 2: Convert to fraction form
    3,830.72/5,285.42 = 2,338.54/x
  3. Step 3: Cross multiply
    3,830.72x = 5,285.42 × 2,338.54
  4. Step 4: Simplify right side
    3,830.72x = 12,360,166.09
  5. Step 5: Solve for x
    x = 12,360,166.09/3,830.72
  6. Step 6: Final answer
    x = 3,226.59

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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.