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Finding the Fourth Proportional to 3,686.49, 5,087.19 and 2,007.86

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Solution

The fourth proportional to 3,686.49, 5,087.19 and 2,007.86 is: 2,770.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.49 : 5,087.19 = 2,007.86 : x
  2. Step 2: Convert to fraction form
    3,686.49/5,087.19 = 2,007.86/x
  3. Step 3: Cross multiply
    3,686.49x = 5,087.19 × 2,007.86
  4. Step 4: Simplify right side
    3,686.49x = 10,214,339.88
  5. Step 5: Solve for x
    x = 10,214,339.88/3,686.49
  6. Step 6: Final answer
    x = 2,770.75

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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.