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Finding the Fourth Proportional to 3,598.20, 5,396.85 and 965.90

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Solution

The fourth proportional to 3,598.20, 5,396.85 and 965.90 is: 1,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.20 : 5,396.85 = 965.90 : x
  2. Step 2: Convert to fraction form
    3,598.20/5,396.85 = 965.90/x
  3. Step 3: Cross multiply
    3,598.20x = 5,396.85 × 965.90
  4. Step 4: Simplify right side
    3,598.20x = 5,212,817.42
  5. Step 5: Solve for x
    x = 5,212,817.42/3,598.20
  6. Step 6: Final answer
    x = 1,448.73

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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.