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Finding the Fourth Proportional to 4,889.49, 7,334.16 and 1,191.73

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Solution

The fourth proportional to 4,889.49, 7,334.16 and 1,191.73 is: 1,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,889.49 : 7,334.16 = 1,191.73 : x
  2. Step 2: Convert to fraction form
    4,889.49/7,334.16 = 1,191.73/x
  3. Step 3: Cross multiply
    4,889.49x = 7,334.16 × 1,191.73
  4. Step 4: Simplify right side
    4,889.49x = 8,740,338.50
  5. Step 5: Solve for x
    x = 8,740,338.50/4,889.49
  6. Step 6: Final answer
    x = 1,787.58

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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.