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Finding the Fourth Proportional to 3,686.75, 5,087.79 and 2,008.24

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Solution

The fourth proportional to 3,686.75, 5,087.79 and 2,008.24 is: 2,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.75 : 5,087.79 = 2,008.24 : x
  2. Step 2: Convert to fraction form
    3,686.75/5,087.79 = 2,008.24/x
  3. Step 3: Cross multiply
    3,686.75x = 5,087.79 × 2,008.24
  4. Step 4: Simplify right side
    3,686.75x = 10,217,526.35
  5. Step 5: Solve for x
    x = 10,217,526.35/3,686.75
  6. Step 6: Final answer
    x = 2,771.42

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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.