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Finding the Fourth Proportional to 3,452.54, 5,178.83 and 855.50

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Solution

The fourth proportional to 3,452.54, 5,178.83 and 855.50 is: 1,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.54 : 5,178.83 = 855.50 : x
  2. Step 2: Convert to fraction form
    3,452.54/5,178.83 = 855.50/x
  3. Step 3: Cross multiply
    3,452.54x = 5,178.83 × 855.50
  4. Step 4: Simplify right side
    3,452.54x = 4,430,458.89
  5. Step 5: Solve for x
    x = 4,430,458.89/3,452.54
  6. Step 6: Final answer
    x = 1,283.25

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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.