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Finding the Fourth Proportional to 3,536.25, 4,880.06 and 1,964.36

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Solution

The fourth proportional to 3,536.25, 4,880.06 and 1,964.36 is: 2,710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.25 : 4,880.06 = 1,964.36 : x
  2. Step 2: Convert to fraction form
    3,536.25/4,880.06 = 1,964.36/x
  3. Step 3: Cross multiply
    3,536.25x = 4,880.06 × 1,964.36
  4. Step 4: Simplify right side
    3,536.25x = 9,586,160.44
  5. Step 5: Solve for x
    x = 9,586,160.44/3,536.25
  6. Step 6: Final answer
    x = 2,710.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.