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Finding the Fourth Proportional to 3,659.69, 5,489.83 and 1,194.76

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Solution

The fourth proportional to 3,659.69, 5,489.83 and 1,194.76 is: 1,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.69 : 5,489.83 = 1,194.76 : x
  2. Step 2: Convert to fraction form
    3,659.69/5,489.83 = 1,194.76/x
  3. Step 3: Cross multiply
    3,659.69x = 5,489.83 × 1,194.76
  4. Step 4: Simplify right side
    3,659.69x = 6,559,038.65
  5. Step 5: Solve for x
    x = 6,559,038.65/3,659.69
  6. Step 6: Final answer
    x = 1,792.24

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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.