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Finding the Fourth Proportional to 3,512.97, 5,284.04 and 3,177.63

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Solution

The fourth proportional to 3,512.97, 5,284.04 and 3,177.63 is: 4,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.97 : 5,284.04 = 3,177.63 : x
  2. Step 2: Convert to fraction form
    3,512.97/5,284.04 = 3,177.63/x
  3. Step 3: Cross multiply
    3,512.97x = 5,284.04 × 3,177.63
  4. Step 4: Simplify right side
    3,512.97x = 16,790,708.14
  5. Step 5: Solve for x
    x = 16,790,708.14/3,512.97
  6. Step 6: Final answer
    x = 4,779.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.