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Finding the Fourth Proportional to 3,685.65, 5,086.43 and 2,113.77

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Solution

The fourth proportional to 3,685.65, 5,086.43 and 2,113.77 is: 2,917.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.65 : 5,086.43 = 2,113.77 : x
  2. Step 2: Convert to fraction form
    3,685.65/5,086.43 = 2,113.77/x
  3. Step 3: Cross multiply
    3,685.65x = 5,086.43 × 2,113.77
  4. Step 4: Simplify right side
    3,685.65x = 10,751,543.14
  5. Step 5: Solve for x
    x = 10,751,543.14/3,685.65
  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.