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Finding the Fourth Proportional to 3,887.48, 5,361.43 and 3,284.78

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Solution

The fourth proportional to 3,887.48, 5,361.43 and 3,284.78 is: 4,530.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.48 : 5,361.43 = 3,284.78 : x
  2. Step 2: Convert to fraction form
    3,887.48/5,361.43 = 3,284.78/x
  3. Step 3: Cross multiply
    3,887.48x = 5,361.43 × 3,284.78
  4. Step 4: Simplify right side
    3,887.48x = 17,611,095.02
  5. Step 5: Solve for x
    x = 17,611,095.02/3,887.48
  6. Step 6: Final answer
    x = 4,530.20

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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.