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Finding the Fourth Proportional to 3,659.64, 5,049.70 and 2,087.70

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Solution

The fourth proportional to 3,659.64, 5,049.70 and 2,087.70 is: 2,880.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.64 : 5,049.70 = 2,087.70 : x
  2. Step 2: Convert to fraction form
    3,659.64/5,049.70 = 2,087.70/x
  3. Step 3: Cross multiply
    3,659.64x = 5,049.70 × 2,087.70
  4. Step 4: Simplify right side
    3,659.64x = 10,542,258.69
  5. Step 5: Solve for x
    x = 10,542,258.69/3,659.64
  6. Step 6: Final answer
    x = 2,880.68

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1.5x scale

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.