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Finding the Fourth Proportional to 3,649.89, 5,474.85 and 1,459.17

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Solution

The fourth proportional to 3,649.89, 5,474.85 and 1,459.17 is: 2,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.89 : 5,474.85 = 1,459.17 : x
  2. Step 2: Convert to fraction form
    3,649.89/5,474.85 = 1,459.17/x
  3. Step 3: Cross multiply
    3,649.89x = 5,474.85 × 1,459.17
  4. Step 4: Simplify right side
    3,649.89x = 7,988,736.87
  5. Step 5: Solve for x
    x = 7,988,736.87/3,649.89
  6. Step 6: Final answer
    x = 2,188.76

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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.