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Finding the Fourth Proportional to 3,680.01, 5,078.16 and 2,086.74

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Solution

The fourth proportional to 3,680.01, 5,078.16 and 2,086.74 is: 2,879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.01 : 5,078.16 = 2,086.74 : x
  2. Step 2: Convert to fraction form
    3,680.01/5,078.16 = 2,086.74/x
  3. Step 3: Cross multiply
    3,680.01x = 5,078.16 × 2,086.74
  4. Step 4: Simplify right side
    3,680.01x = 10,596,799.60
  5. Step 5: Solve for x
    x = 10,596,799.60/3,680.01
  6. Step 6: Final answer
    x = 2,879.56

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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.