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Finding the Fourth Proportional to 3,606.21, 4,976.46 and 2,114.10

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Solution

The fourth proportional to 3,606.21, 4,976.46 and 2,114.10 is: 2,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.21 : 4,976.46 = 2,114.10 : x
  2. Step 2: Convert to fraction form
    3,606.21/4,976.46 = 2,114.10/x
  3. Step 3: Cross multiply
    3,606.21x = 4,976.46 × 2,114.10
  4. Step 4: Simplify right side
    3,606.21x = 10,520,734.09
  5. Step 5: Solve for x
    x = 10,520,734.09/3,606.21
  6. Step 6: Final answer
    x = 2,917.39

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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.