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Finding the Fourth Proportional to 3,693.90, 5,540.85 and 3,276.30

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Solution

The fourth proportional to 3,693.90, 5,540.85 and 3,276.30 is: 4,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.90 : 5,540.85 = 3,276.30 : x
  2. Step 2: Convert to fraction form
    3,693.90/5,540.85 = 3,276.30/x
  3. Step 3: Cross multiply
    3,693.90x = 5,540.85 × 3,276.30
  4. Step 4: Simplify right side
    3,693.90x = 18,153,486.86
  5. Step 5: Solve for x
    x = 18,153,486.86/3,693.90
  6. Step 6: Final answer
    x = 4,914.45

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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.