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Finding the Fourth Proportional to 4,083.68, 5,635.17 and 2,314.98

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Solution

The fourth proportional to 4,083.68, 5,635.17 and 2,314.98 is: 3,194.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,083.68 : 5,635.17 = 2,314.98 : x
  2. Step 2: Convert to fraction form
    4,083.68/5,635.17 = 2,314.98/x
  3. Step 3: Cross multiply
    4,083.68x = 5,635.17 × 2,314.98
  4. Step 4: Simplify right side
    4,083.68x = 13,045,305.85
  5. Step 5: Solve for x
    x = 13,045,305.85/4,083.68
  6. Step 6: Final answer
    x = 3,194.50

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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.