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Finding the Fourth Proportional to 5,093.60, 7,642.69 and 3,244.23

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Solution

The fourth proportional to 5,093.60, 7,642.69 and 3,244.23 is: 4,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.60 : 7,642.69 = 3,244.23 : x
  2. Step 2: Convert to fraction form
    5,093.60/7,642.69 = 3,244.23/x
  3. Step 3: Cross multiply
    5,093.60x = 7,642.69 × 3,244.23
  4. Step 4: Simplify right side
    5,093.60x = 24,794,636.07
  5. Step 5: Solve for x
    x = 24,794,636.07/5,093.60
  6. Step 6: Final answer
    x = 4,867.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.