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Finding the Fourth Proportional to 3,275.68, 4,914.24 and 967.36

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Solution

The fourth proportional to 3,275.68, 4,914.24 and 967.36 is: 1,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.68 : 4,914.24 = 967.36 : x
  2. Step 2: Convert to fraction form
    3,275.68/4,914.24 = 967.36/x
  3. Step 3: Cross multiply
    3,275.68x = 4,914.24 × 967.36
  4. Step 4: Simplify right side
    3,275.68x = 4,753,839.21
  5. Step 5: Solve for x
    x = 4,753,839.21/3,275.68
  6. Step 6: Final answer
    x = 1,451.25

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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.