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Finding the Fourth Proportional to 5,093.67, 7,636.59 and 2,459.82

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Solution

The fourth proportional to 5,093.67, 7,636.59 and 2,459.82 is: 3,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.67 : 7,636.59 = 2,459.82 : x
  2. Step 2: Convert to fraction form
    5,093.67/7,636.59 = 2,459.82/x
  3. Step 3: Cross multiply
    5,093.67x = 7,636.59 × 2,459.82
  4. Step 4: Simplify right side
    5,093.67x = 18,784,636.81
  5. Step 5: Solve for x
    x = 18,784,636.81/5,093.67
  6. Step 6: Final answer
    x = 3,687.84

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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.