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Finding the Fourth Proportional to 3,679.64, 5,076.11 and 2,186.50

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Solution

The fourth proportional to 3,679.64, 5,076.11 and 2,186.50 is: 3,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.64 : 5,076.11 = 2,186.50 : x
  2. Step 2: Convert to fraction form
    3,679.64/5,076.11 = 2,186.50/x
  3. Step 3: Cross multiply
    3,679.64x = 5,076.11 × 2,186.50
  4. Step 4: Simplify right side
    3,679.64x = 11,098,911.39
  5. Step 5: Solve for x
    x = 11,098,911.39/3,679.64
  6. Step 6: Final answer
    x = 3,016.31

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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.