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Finding the Fourth Proportional to 4,890.98, 7,336.50 and 1,193.24

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Solution

The fourth proportional to 4,890.98, 7,336.50 and 1,193.24 is: 1,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,890.98 : 7,336.50 = 1,193.24 : x
  2. Step 2: Convert to fraction form
    4,890.98/7,336.50 = 1,193.24/x
  3. Step 3: Cross multiply
    4,890.98x = 7,336.50 × 1,193.24
  4. Step 4: Simplify right side
    4,890.98x = 8,754,205.26
  5. Step 5: Solve for x
    x = 8,754,205.26/4,890.98
  6. Step 6: Final answer
    x = 1,789.87

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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.