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Finding the Fourth Proportional to 3,596.75, 5,394.36 and 1,131.00

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Solution

The fourth proportional to 3,596.75, 5,394.36 and 1,131.00 is: 1,696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.75 : 5,394.36 = 1,131.00 : x
  2. Step 2: Convert to fraction form
    3,596.75/5,394.36 = 1,131.00/x
  3. Step 3: Cross multiply
    3,596.75x = 5,394.36 × 1,131.00
  4. Step 4: Simplify right side
    3,596.75x = 6,100,995.63
  5. Step 5: Solve for x
    x = 6,100,995.63/3,596.75
  6. Step 6: Final answer
    x = 1,696.25

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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.