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Finding the Fourth Proportional to 4,275.85, 6,414.57 and 2,083.99

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Solution

The fourth proportional to 4,275.85, 6,414.57 and 2,083.99 is: 3,126.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.85 : 6,414.57 = 2,083.99 : x
  2. Step 2: Convert to fraction form
    4,275.85/6,414.57 = 2,083.99/x
  3. Step 3: Cross multiply
    4,275.85x = 6,414.57 × 2,083.99
  4. Step 4: Simplify right side
    4,275.85x = 13,367,899.73
  5. Step 5: Solve for x
    x = 13,367,899.73/4,275.85
  6. Step 6: Final answer
    x = 3,126.37

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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.