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Finding the Fourth Proportional to 4,093.22, 5,648.64 and 2,230.22

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Solution

The fourth proportional to 4,093.22, 5,648.64 and 2,230.22 is: 3,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.22 : 5,648.64 = 2,230.22 : x
  2. Step 2: Convert to fraction form
    4,093.22/5,648.64 = 2,230.22/x
  3. Step 3: Cross multiply
    4,093.22x = 5,648.64 × 2,230.22
  4. Step 4: Simplify right side
    4,093.22x = 12,597,707.02
  5. Step 5: Solve for x
    x = 12,597,707.02/4,093.22
  6. Step 6: Final answer
    x = 3,077.70

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