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Finding the Fourth Proportional to 4,093.17, 5,648.60 and 2,324.81

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Solution

The fourth proportional to 4,093.17, 5,648.60 and 2,324.81 is: 3,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.17 : 5,648.60 = 2,324.81 : x
  2. Step 2: Convert to fraction form
    4,093.17/5,648.60 = 2,324.81/x
  3. Step 3: Cross multiply
    4,093.17x = 5,648.60 × 2,324.81
  4. Step 4: Simplify right side
    4,093.17x = 13,131,921.77
  5. Step 5: Solve for x
    x = 13,131,921.77/4,093.17
  6. Step 6: Final answer
    x = 3,208.25

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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.