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Finding the Fourth Proportional to 3,275.69, 4,912.62 and 1,300.43

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Solution

The fourth proportional to 3,275.69, 4,912.62 and 1,300.43 is: 1,950.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.69 : 4,912.62 = 1,300.43 : x
  2. Step 2: Convert to fraction form
    3,275.69/4,912.62 = 1,300.43/x
  3. Step 3: Cross multiply
    3,275.69x = 4,912.62 × 1,300.43
  4. Step 4: Simplify right side
    3,275.69x = 6,388,518.43
  5. Step 5: Solve for x
    x = 6,388,518.43/3,275.69
  6. Step 6: Final answer
    x = 1,950.28

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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.