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Finding the Fourth Proportional to 3,686.44, 5,086.74 and 2,113.96

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Solution

The fourth proportional to 3,686.44, 5,086.74 and 2,113.96 is: 2,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.44 : 5,086.74 = 2,113.96 : x
  2. Step 2: Convert to fraction form
    3,686.44/5,086.74 = 2,113.96/x
  3. Step 3: Cross multiply
    3,686.44x = 5,086.74 × 2,113.96
  4. Step 4: Simplify right side
    3,686.44x = 10,753,164.89
  5. Step 5: Solve for x
    x = 10,753,164.89/3,686.44
  6. Step 6: Final answer
    x = 2,916.95

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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.