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Finding the Fourth Proportional to 3,686.62, 5,087.76 and 2,114.38

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Solution

The fourth proportional to 3,686.62, 5,087.76 and 2,114.38 is: 2,917.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.62 : 5,087.76 = 2,114.38 : x
  2. Step 2: Convert to fraction form
    3,686.62/5,087.76 = 2,114.38/x
  3. Step 3: Cross multiply
    3,686.62x = 5,087.76 × 2,114.38
  4. Step 4: Simplify right side
    3,686.62x = 10,757,457.99
  5. Step 5: Solve for x
    x = 10,757,457.99/3,686.62
  6. Step 6: Final answer
    x = 2,917.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.