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Finding the Fourth Proportional to 3,402.54, 4,691.94 and 2,693.25

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Solution

The fourth proportional to 3,402.54, 4,691.94 and 2,693.25 is: 3,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.54 : 4,691.94 = 2,693.25 : x
  2. Step 2: Convert to fraction form
    3,402.54/4,691.94 = 2,693.25/x
  3. Step 3: Cross multiply
    3,402.54x = 4,691.94 × 2,693.25
  4. Step 4: Simplify right side
    3,402.54x = 12,636,567.41
  5. Step 5: Solve for x
    x = 12,636,567.41/3,402.54
  6. Step 6: Final answer
    x = 3,713.86

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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.