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Finding the Fourth Proportional to 3,659.87, 5,490.68 and 1,194.69

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Solution

The fourth proportional to 3,659.87, 5,490.68 and 1,194.69 is: 1,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.87 : 5,490.68 = 1,194.69 : x
  2. Step 2: Convert to fraction form
    3,659.87/5,490.68 = 1,194.69/x
  3. Step 3: Cross multiply
    3,659.87x = 5,490.68 × 1,194.69
  4. Step 4: Simplify right side
    3,659.87x = 6,559,660.49
  5. Step 5: Solve for x
    x = 6,559,660.49/3,659.87
  6. Step 6: Final answer
    x = 1,792.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.