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Finding the Fourth Proportional to 4,083.87, 6,126.60 and 1,310.33

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Solution

The fourth proportional to 4,083.87, 6,126.60 and 1,310.33 is: 1,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.87 : 6,126.60 = 1,310.33 : x
  2. Step 2: Convert to fraction form
    4,083.87/6,126.60 = 1,310.33/x
  3. Step 3: Cross multiply
    4,083.87x = 6,126.60 × 1,310.33
  4. Step 4: Simplify right side
    4,083.87x = 8,027,854.17
  5. Step 5: Solve for x
    x = 8,027,854.17/4,083.87
  6. Step 6: Final answer
    x = 1,965.75

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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.