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Finding the Fourth Proportional to 4,093.84, 5,649.46 and 2,325.07

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Solution

The fourth proportional to 4,093.84, 5,649.46 and 2,325.07 is: 3,208.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.84 : 5,649.46 = 2,325.07 : x
  2. Step 2: Convert to fraction form
    4,093.84/5,649.46 = 2,325.07/x
  3. Step 3: Cross multiply
    4,093.84x = 5,649.46 × 2,325.07
  4. Step 4: Simplify right side
    4,093.84x = 13,135,389.96
  5. Step 5: Solve for x
    x = 13,135,389.96/4,093.84
  6. Step 6: Final answer
    x = 3,208.57

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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.