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Finding the Fourth Proportional to 3,605.25, 5,410.50 and 1,296.75

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Solution

The fourth proportional to 3,605.25, 5,410.50 and 1,296.75 is: 1,946.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.25 : 5,410.50 = 1,296.75 : x
  2. Step 2: Convert to fraction form
    3,605.25/5,410.50 = 1,296.75/x
  3. Step 3: Cross multiply
    3,605.25x = 5,410.50 × 1,296.75
  4. Step 4: Simplify right side
    3,605.25x = 7,016,065.88
  5. Step 5: Solve for x
    x = 7,016,065.88/3,605.25
  6. Step 6: Final answer
    x = 1,946.07

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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.