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Finding the Fourth Proportional to 3,485.96, 5,230.98 and 1,296.20

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Solution

The fourth proportional to 3,485.96, 5,230.98 and 1,296.20 is: 1,945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.96 : 5,230.98 = 1,296.20 : x
  2. Step 2: Convert to fraction form
    3,485.96/5,230.98 = 1,296.20/x
  3. Step 3: Cross multiply
    3,485.96x = 5,230.98 × 1,296.20
  4. Step 4: Simplify right side
    3,485.96x = 6,780,396.28
  5. Step 5: Solve for x
    x = 6,780,396.28/3,485.96
  6. Step 6: Final answer
    x = 1,945.06

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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.