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Finding the Fourth Proportional to 3,452.02, 5,178.03 and 854.96

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Solution

The fourth proportional to 3,452.02, 5,178.03 and 854.96 is: 1,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.02 : 5,178.03 = 854.96 : x
  2. Step 2: Convert to fraction form
    3,452.02/5,178.03 = 854.96/x
  3. Step 3: Cross multiply
    3,452.02x = 5,178.03 × 854.96
  4. Step 4: Simplify right side
    3,452.02x = 4,426,979.43
  5. Step 5: Solve for x
    x = 4,426,979.43/3,452.02
  6. Step 6: Final answer
    x = 1,282.43

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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.