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Finding the Fourth Proportional to 3,277.04, 4,914.96 and 968

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Solution

The fourth proportional to 3,277.04, 4,914.96 and 968 is: 1,451.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.04 : 4,914.96 = 968 : x
  2. Step 2: Convert to fraction form
    3,277.04/4,914.96 = 968/x
  3. Step 3: Cross multiply
    3,277.04x = 4,914.96 × 968
  4. Step 4: Simplify right side
    3,277.04x = 4,757,681.28
  5. Step 5: Solve for x
    x = 4,757,681.28/3,277.04
  6. Step 6: Final answer
    x = 1,451.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.