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Finding the Fourth Proportional to 4,093.84, 5,649.78 and 2,325.64

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Solution

The fourth proportional to 4,093.84, 5,649.78 and 2,325.64 is: 3,209.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.84 : 5,649.78 = 2,325.64 : x
  2. Step 2: Convert to fraction form
    4,093.84/5,649.78 = 2,325.64/x
  3. Step 3: Cross multiply
    4,093.84x = 5,649.78 × 2,325.64
  4. Step 4: Simplify right side
    4,093.84x = 13,139,354.36
  5. Step 5: Solve for x
    x = 13,139,354.36/4,093.84
  6. Step 6: Final answer
    x = 3,209.54

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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.