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Finding the Fourth Proportional to 3,686.29, 5,087.10 and 2,114.44

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Solution

The fourth proportional to 3,686.29, 5,087.10 and 2,114.44 is: 2,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.29 : 5,087.10 = 2,114.44 : x
  2. Step 2: Convert to fraction form
    3,686.29/5,087.10 = 2,114.44/x
  3. Step 3: Cross multiply
    3,686.29x = 5,087.10 × 2,114.44
  4. Step 4: Simplify right side
    3,686.29x = 10,756,367.72
  5. Step 5: Solve for x
    x = 10,756,367.72/3,686.29
  6. Step 6: Final answer
    x = 2,917.94

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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.