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Finding the Fourth Proportional to 4,891.82, 7,332.51 and 1,604.03

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Solution

The fourth proportional to 4,891.82, 7,332.51 and 1,604.03 is: 2,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.82 : 7,332.51 = 1,604.03 : x
  2. Step 2: Convert to fraction form
    4,891.82/7,332.51 = 1,604.03/x
  3. Step 3: Cross multiply
    4,891.82x = 7,332.51 × 1,604.03
  4. Step 4: Simplify right side
    4,891.82x = 11,761,566.02
  5. Step 5: Solve for x
    x = 11,761,566.02/4,891.82
  6. Step 6: Final answer
    x = 2,404.33

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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.