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Finding the Fourth Proportional to 3,977.26, 5,965.98 and 1,513.24

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Solution

The fourth proportional to 3,977.26, 5,965.98 and 1,513.24 is: 2,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.26 : 5,965.98 = 1,513.24 : x
  2. Step 2: Convert to fraction form
    3,977.26/5,965.98 = 1,513.24/x
  3. Step 3: Cross multiply
    3,977.26x = 5,965.98 × 1,513.24
  4. Step 4: Simplify right side
    3,977.26x = 9,027,959.58
  5. Step 5: Solve for x
    x = 9,027,959.58/3,977.26
  6. Step 6: Final answer
    x = 2,269.89

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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.