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Finding the Fourth Proportional to 3,609.85, 4,982.54 and 2,354.02

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Solution

The fourth proportional to 3,609.85, 4,982.54 and 2,354.02 is: 3,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.85 : 4,982.54 = 2,354.02 : x
  2. Step 2: Convert to fraction form
    3,609.85/4,982.54 = 2,354.02/x
  3. Step 3: Cross multiply
    3,609.85x = 4,982.54 × 2,354.02
  4. Step 4: Simplify right side
    3,609.85x = 11,728,998.81
  5. Step 5: Solve for x
    x = 11,728,998.81/3,609.85
  6. Step 6: Final answer
    x = 3,249.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.