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Finding the Fourth Proportional to 5,611.17, 7,742.74 and 3,093.09

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Solution

The fourth proportional to 5,611.17, 7,742.74 and 3,093.09 is: 4,268.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.17 : 7,742.74 = 3,093.09 : x
  2. Step 2: Convert to fraction form
    5,611.17/7,742.74 = 3,093.09/x
  3. Step 3: Cross multiply
    5,611.17x = 7,742.74 × 3,093.09
  4. Step 4: Simplify right side
    5,611.17x = 23,948,960.70
  5. Step 5: Solve for x
    x = 23,948,960.70/5,611.17
  6. Step 6: Final answer
    x = 4,268.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.