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Finding the Fourth Proportional to 3,894.89, 5,375.16 and 2,323.08

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Solution

The fourth proportional to 3,894.89, 5,375.16 and 2,323.08 is: 3,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.89 : 5,375.16 = 2,323.08 : x
  2. Step 2: Convert to fraction form
    3,894.89/5,375.16 = 2,323.08/x
  3. Step 3: Cross multiply
    3,894.89x = 5,375.16 × 2,323.08
  4. Step 4: Simplify right side
    3,894.89x = 12,486,926.69
  5. Step 5: Solve for x
    x = 12,486,926.69/3,894.89
  6. Step 6: Final answer
    x = 3,205.98

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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.