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Finding the Fourth Proportional to 3,685.91, 5,086.35 and 2,113.70

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Solution

The fourth proportional to 3,685.91, 5,086.35 and 2,113.70 is: 2,916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.91 : 5,086.35 = 2,113.70 : x
  2. Step 2: Convert to fraction form
    3,685.91/5,086.35 = 2,113.70/x
  3. Step 3: Cross multiply
    3,685.91x = 5,086.35 × 2,113.70
  4. Step 4: Simplify right side
    3,685.91x = 10,750,992.56
  5. Step 5: Solve for x
    x = 10,750,992.56/3,685.91
  6. Step 6: Final answer
    x = 2,916.79

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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.