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Finding the Fourth Proportional to 3,577.50, 5,369.13 and 1,846.62

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Solution

The fourth proportional to 3,577.50, 5,369.13 and 1,846.62 is: 2,771.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.50 : 5,369.13 = 1,846.62 : x
  2. Step 2: Convert to fraction form
    3,577.50/5,369.13 = 1,846.62/x
  3. Step 3: Cross multiply
    3,577.50x = 5,369.13 × 1,846.62
  4. Step 4: Simplify right side
    3,577.50x = 9,914,742.84
  5. Step 5: Solve for x
    x = 9,914,742.84/3,577.50
  6. Step 6: Final answer
    x = 2,771.42

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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.