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Finding the Fourth Proportional to 3,611.63, 5,414.98 and 1,736.53

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Solution

The fourth proportional to 3,611.63, 5,414.98 and 1,736.53 is: 2,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,611.63 : 5,414.98 = 1,736.53 : x
  2. Step 2: Convert to fraction form
    3,611.63/5,414.98 = 1,736.53/x
  3. Step 3: Cross multiply
    3,611.63x = 5,414.98 × 1,736.53
  4. Step 4: Simplify right side
    3,611.63x = 9,403,275.22
  5. Step 5: Solve for x
    x = 9,403,275.22/3,611.63
  6. Step 6: Final answer
    x = 2,603.61

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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.