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Finding the Fourth Proportional to 3,275.76, 4,914.48 and 967.28

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Solution

The fourth proportional to 3,275.76, 4,914.48 and 967.28 is: 1,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.76 : 4,914.48 = 967.28 : x
  2. Step 2: Convert to fraction form
    3,275.76/4,914.48 = 967.28/x
  3. Step 3: Cross multiply
    3,275.76x = 4,914.48 × 967.28
  4. Step 4: Simplify right side
    3,275.76x = 4,753,678.21
  5. Step 5: Solve for x
    x = 4,753,678.21/3,275.76
  6. Step 6: Final answer
    x = 1,451.17

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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.