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Finding the Fourth Proportional to 4,093.84, 5,648.97 and 2,325.61

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Solution

The fourth proportional to 4,093.84, 5,648.97 and 2,325.61 is: 3,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.84 : 5,648.97 = 2,325.61 : x
  2. Step 2: Convert to fraction form
    4,093.84/5,648.97 = 2,325.61/x
  3. Step 3: Cross multiply
    4,093.84x = 5,648.97 × 2,325.61
  4. Step 4: Simplify right side
    4,093.84x = 13,137,301.12
  5. Step 5: Solve for x
    x = 13,137,301.12/4,093.84
  6. Step 6: Final answer
    x = 3,209.04

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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.