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Finding the Fourth Proportional to 3,632.65, 5,449.50 and 1,292.45

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Solution

The fourth proportional to 3,632.65, 5,449.50 and 1,292.45 is: 1,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.65 : 5,449.50 = 1,292.45 : x
  2. Step 2: Convert to fraction form
    3,632.65/5,449.50 = 1,292.45/x
  3. Step 3: Cross multiply
    3,632.65x = 5,449.50 × 1,292.45
  4. Step 4: Simplify right side
    3,632.65x = 7,043,179.03
  5. Step 5: Solve for x
    x = 7,043,179.03/3,632.65
  6. Step 6: Final answer
    x = 1,938.86

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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.