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Finding the Fourth Proportional to 3,608.07, 5,414.22 and 1,527.95

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Solution

The fourth proportional to 3,608.07, 5,414.22 and 1,527.95 is: 2,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.07 : 5,414.22 = 1,527.95 : x
  2. Step 2: Convert to fraction form
    3,608.07/5,414.22 = 1,527.95/x
  3. Step 3: Cross multiply
    3,608.07x = 5,414.22 × 1,527.95
  4. Step 4: Simplify right side
    3,608.07x = 8,272,630.38
  5. Step 5: Solve for x
    x = 8,272,630.38/3,608.07
  6. Step 6: Final answer
    x = 2,292.81

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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.