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Finding the Fourth Proportional to 3,659.09, 5,049.54 and 2,087.19

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Solution

The fourth proportional to 3,659.09, 5,049.54 and 2,087.19 is: 2,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.09 : 5,049.54 = 2,087.19 : x
  2. Step 2: Convert to fraction form
    3,659.09/5,049.54 = 2,087.19/x
  3. Step 3: Cross multiply
    3,659.09x = 5,049.54 × 2,087.19
  4. Step 4: Simplify right side
    3,659.09x = 10,539,349.39
  5. Step 5: Solve for x
    x = 10,539,349.39/3,659.09
  6. Step 6: Final answer
    x = 2,880.32

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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.