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Finding the Fourth Proportional to 3,884.82, 5,361.50 and 2,312.90

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Solution

The fourth proportional to 3,884.82, 5,361.50 and 2,312.90 is: 3,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.82 : 5,361.50 = 2,312.90 : x
  2. Step 2: Convert to fraction form
    3,884.82/5,361.50 = 2,312.90/x
  3. Step 3: Cross multiply
    3,884.82x = 5,361.50 × 2,312.90
  4. Step 4: Simplify right side
    3,884.82x = 12,400,613.35
  5. Step 5: Solve for x
    x = 12,400,613.35/3,884.82
  6. Step 6: Final answer
    x = 3,192.07

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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.