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Finding the Fourth Proportional to 5,732.02, 7,910.09 and 3,214.12

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Solution

The fourth proportional to 5,732.02, 7,910.09 and 3,214.12 is: 4,435.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.02 : 7,910.09 = 3,214.12 : x
  2. Step 2: Convert to fraction form
    5,732.02/7,910.09 = 3,214.12/x
  3. Step 3: Cross multiply
    5,732.02x = 7,910.09 × 3,214.12
  4. Step 4: Simplify right side
    5,732.02x = 25,423,978.47
  5. Step 5: Solve for x
    x = 25,423,978.47/5,732.02
  6. Step 6: Final answer
    x = 4,435.43

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