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Finding the Fourth Proportional to 4,891.82, 7,333.22 and 1,771.10

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Solution

The fourth proportional to 4,891.82, 7,333.22 and 1,771.10 is: 2,655.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.82 : 7,333.22 = 1,771.10 : x
  2. Step 2: Convert to fraction form
    4,891.82/7,333.22 = 1,771.10/x
  3. Step 3: Cross multiply
    4,891.82x = 7,333.22 × 1,771.10
  4. Step 4: Simplify right side
    4,891.82x = 12,987,865.94
  5. Step 5: Solve for x
    x = 12,987,865.94/4,891.82
  6. Step 6: Final answer
    x = 2,655.02

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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.