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Finding the Fourth Proportional to 4,093.24, 5,648.72 and 2,230.24

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Solution

The fourth proportional to 4,093.24, 5,648.72 and 2,230.24 is: 3,077.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.24 : 5,648.72 = 2,230.24 : x
  2. Step 2: Convert to fraction form
    4,093.24/5,648.72 = 2,230.24/x
  3. Step 3: Cross multiply
    4,093.24x = 5,648.72 × 2,230.24
  4. Step 4: Simplify right side
    4,093.24x = 12,598,001.29
  5. Step 5: Solve for x
    x = 12,598,001.29/4,093.24
  6. Step 6: Final answer
    x = 3,077.76

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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.