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Finding the Fourth Proportional to 3,833.12, 5,283.71 and 3,205.72

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Solution

The fourth proportional to 3,833.12, 5,283.71 and 3,205.72 is: 4,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.12 : 5,283.71 = 3,205.72 : x
  2. Step 2: Convert to fraction form
    3,833.12/5,283.71 = 3,205.72/x
  3. Step 3: Cross multiply
    3,833.12x = 5,283.71 × 3,205.72
  4. Step 4: Simplify right side
    3,833.12x = 16,938,094.82
  5. Step 5: Solve for x
    x = 16,938,094.82/3,833.12
  6. Step 6: Final answer
    x = 4,418.88

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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.