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Finding the Fourth Proportional to 3,686.12, 5,086.02 and 2,114.21

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Solution

The fourth proportional to 3,686.12, 5,086.02 and 2,114.21 is: 2,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.12 : 5,086.02 = 2,114.21 : x
  2. Step 2: Convert to fraction form
    3,686.12/5,086.02 = 2,114.21/x
  3. Step 3: Cross multiply
    3,686.12x = 5,086.02 × 2,114.21
  4. Step 4: Simplify right side
    3,686.12x = 10,752,914.34
  5. Step 5: Solve for x
    x = 10,752,914.34/3,686.12
  6. Step 6: Final answer
    x = 2,917.14

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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.