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Finding the Fourth Proportional to 3,433.84, 5,150.52 and 968.56

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Solution

The fourth proportional to 3,433.84, 5,150.52 and 968.56 is: 1,452.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.84 : 5,150.52 = 968.56 : x
  2. Step 2: Convert to fraction form
    3,433.84/5,150.52 = 968.56/x
  3. Step 3: Cross multiply
    3,433.84x = 5,150.52 × 968.56
  4. Step 4: Simplify right side
    3,433.84x = 4,988,587.65
  5. Step 5: Solve for x
    x = 4,988,587.65/3,433.84
  6. Step 6: Final answer
    x = 1,452.77

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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.