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Finding the Fourth Proportional to 3,512.66, 4,846.82 and 2,020.64

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Solution

The fourth proportional to 3,512.66, 4,846.82 and 2,020.64 is: 2,788.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.66 : 4,846.82 = 2,020.64 : x
  2. Step 2: Convert to fraction form
    3,512.66/4,846.82 = 2,020.64/x
  3. Step 3: Cross multiply
    3,512.66x = 4,846.82 × 2,020.64
  4. Step 4: Simplify right side
    3,512.66x = 9,793,644.03
  5. Step 5: Solve for x
    x = 9,793,644.03/3,512.66
  6. Step 6: Final answer
    x = 2,788.10

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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.