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Finding the Fourth Proportional to 3,855.85, 5,316.10 and 3,146.96

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Solution

The fourth proportional to 3,855.85, 5,316.10 and 3,146.96 is: 4,338.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.85 : 5,316.10 = 3,146.96 : x
  2. Step 2: Convert to fraction form
    3,855.85/5,316.10 = 3,146.96/x
  3. Step 3: Cross multiply
    3,855.85x = 5,316.10 × 3,146.96
  4. Step 4: Simplify right side
    3,855.85x = 16,729,559.48
  5. Step 5: Solve for x
    x = 16,729,559.48/3,855.85
  6. Step 6: Final answer
    x = 4,338.75

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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.