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Finding the Fourth Proportional to 3,525.09, 5,287.73 and 1,964.22

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Solution

The fourth proportional to 3,525.09, 5,287.73 and 1,964.22 is: 2,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.09 : 5,287.73 = 1,964.22 : x
  2. Step 2: Convert to fraction form
    3,525.09/5,287.73 = 1,964.22/x
  3. Step 3: Cross multiply
    3,525.09x = 5,287.73 × 1,964.22
  4. Step 4: Simplify right side
    3,525.09x = 10,386,265.02
  5. Step 5: Solve for x
    x = 10,386,265.02/3,525.09
  6. Step 6: Final answer
    x = 2,946.38

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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.