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Finding the Fourth Proportional to 4,891.07, 7,336.50 and 1,193.31

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Solution

The fourth proportional to 4,891.07, 7,336.50 and 1,193.31 is: 1,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.07 : 7,336.50 = 1,193.31 : x
  2. Step 2: Convert to fraction form
    4,891.07/7,336.50 = 1,193.31/x
  3. Step 3: Cross multiply
    4,891.07x = 7,336.50 × 1,193.31
  4. Step 4: Simplify right side
    4,891.07x = 8,754,718.82
  5. Step 5: Solve for x
    x = 8,754,718.82/4,891.07
  6. Step 6: Final answer
    x = 1,789.94

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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.