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Finding the Fourth Proportional to 3,609.65, 5,414.84 and 1,300.61

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Solution

The fourth proportional to 3,609.65, 5,414.84 and 1,300.61 is: 1,951.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.65 : 5,414.84 = 1,300.61 : x
  2. Step 2: Convert to fraction form
    3,609.65/5,414.84 = 1,300.61/x
  3. Step 3: Cross multiply
    3,609.65x = 5,414.84 × 1,300.61
  4. Step 4: Simplify right side
    3,609.65x = 7,042,588.55
  5. Step 5: Solve for x
    x = 7,042,588.55/3,609.65
  6. Step 6: Final answer
    x = 1,951.04

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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.