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Finding the Fourth Proportional to 3,682, 5,081.16 and 2,285.60

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Solution

The fourth proportional to 3,682, 5,081.16 and 2,285.60 is: 3,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682 : 5,081.16 = 2,285.60 : x
  2. Step 2: Convert to fraction form
    3,682/5,081.16 = 2,285.60/x
  3. Step 3: Cross multiply
    3,682x = 5,081.16 × 2,285.60
  4. Step 4: Simplify right side
    3,682x = 11,613,499.30
  5. Step 5: Solve for x
    x = 11,613,499.30/3,682
  6. Step 6: Final answer
    x = 3,154.13

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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.