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Finding the Fourth Proportional to 3,354.36, 5,031.54 and 1,161.90

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Solution

The fourth proportional to 3,354.36, 5,031.54 and 1,161.90 is: 1,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354.36 : 5,031.54 = 1,161.90 : x
  2. Step 2: Convert to fraction form
    3,354.36/5,031.54 = 1,161.90/x
  3. Step 3: Cross multiply
    3,354.36x = 5,031.54 × 1,161.90
  4. Step 4: Simplify right side
    3,354.36x = 5,846,146.33
  5. Step 5: Solve for x
    x = 5,846,146.33/3,354.36
  6. Step 6: Final answer
    x = 1,742.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.