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Finding the Fourth Proportional to 3,611.27, 5,414.50 and 1,302.47

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Solution

The fourth proportional to 3,611.27, 5,414.50 and 1,302.47 is: 1,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.27 : 5,414.50 = 1,302.47 : x
  2. Step 2: Convert to fraction form
    3,611.27/5,414.50 = 1,302.47/x
  3. Step 3: Cross multiply
    3,611.27x = 5,414.50 × 1,302.47
  4. Step 4: Simplify right side
    3,611.27x = 7,052,210.28
  5. Step 5: Solve for x
    x = 7,052,210.28/3,611.27
  6. Step 6: Final answer
    x = 1,952.84

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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.