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Finding the Fourth Proportional to 3,599.67, 5,396.45 and 1,649.55

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Solution

The fourth proportional to 3,599.67, 5,396.45 and 1,649.55 is: 2,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.67 : 5,396.45 = 1,649.55 : x
  2. Step 2: Convert to fraction form
    3,599.67/5,396.45 = 1,649.55/x
  3. Step 3: Cross multiply
    3,599.67x = 5,396.45 × 1,649.55
  4. Step 4: Simplify right side
    3,599.67x = 8,901,705.85
  5. Step 5: Solve for x
    x = 8,901,705.85/3,599.67
  6. Step 6: Final answer
    x = 2,472.92

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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.