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Finding the Fourth Proportional to 4,093.37, 5,648.74 and 2,325.00

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Solution

The fourth proportional to 4,093.37, 5,648.74 and 2,325.00 is: 3,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.37 : 5,648.74 = 2,325.00 : x
  2. Step 2: Convert to fraction form
    4,093.37/5,648.74 = 2,325.00/x
  3. Step 3: Cross multiply
    4,093.37x = 5,648.74 × 2,325.00
  4. Step 4: Simplify right side
    4,093.37x = 13,133,335.87
  5. Step 5: Solve for x
    x = 13,133,335.87/4,093.37
  6. Step 6: Final answer
    x = 3,208.44

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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.