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Finding the Fourth Proportional to 3,597.12, 5,396.43 and 1,132.20

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Solution

The fourth proportional to 3,597.12, 5,396.43 and 1,132.20 is: 1,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,597.12 : 5,396.43 = 1,132.20 : x
  2. Step 2: Convert to fraction form
    3,597.12/5,396.43 = 1,132.20/x
  3. Step 3: Cross multiply
    3,597.12x = 5,396.43 × 1,132.20
  4. Step 4: Simplify right side
    3,597.12x = 6,109,838.05
  5. Step 5: Solve for x
    x = 6,109,838.05/3,597.12
  6. Step 6: Final answer
    x = 1,698.54

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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.