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Finding the Fourth Proportional to 3,813.85, 5,714.23 and 3,428.66

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Solution

The fourth proportional to 3,813.85, 5,714.23 and 3,428.66 is: 5,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.85 : 5,714.23 = 3,428.66 : x
  2. Step 2: Convert to fraction form
    3,813.85/5,714.23 = 3,428.66/x
  3. Step 3: Cross multiply
    3,813.85x = 5,714.23 × 3,428.66
  4. Step 4: Simplify right side
    3,813.85x = 19,592,163.97
  5. Step 5: Solve for x
    x = 19,592,163.97/3,813.85
  6. Step 6: Final answer
    x = 5,137.11

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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.