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Finding the Fourth Proportional to 3,686.44, 5,086.98 and 2,114.20

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Solution

The fourth proportional to 3,686.44, 5,086.98 and 2,114.20 is: 2,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.44 : 5,086.98 = 2,114.20 : x
  2. Step 2: Convert to fraction form
    3,686.44/5,086.98 = 2,114.20/x
  3. Step 3: Cross multiply
    3,686.44x = 5,086.98 × 2,114.20
  4. Step 4: Simplify right side
    3,686.44x = 10,754,893.12
  5. Step 5: Solve for x
    x = 10,754,893.12/3,686.44
  6. Step 6: Final answer
    x = 2,917.42

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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.