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Finding the Fourth Proportional to 3,294.81, 4,540.86 and 3,200.04

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Solution

The fourth proportional to 3,294.81, 4,540.86 and 3,200.04 is: 4,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.81 : 4,540.86 = 3,200.04 : x
  2. Step 2: Convert to fraction form
    3,294.81/4,540.86 = 3,200.04/x
  3. Step 3: Cross multiply
    3,294.81x = 4,540.86 × 3,200.04
  4. Step 4: Simplify right side
    3,294.81x = 14,530,933.63
  5. Step 5: Solve for x
    x = 14,530,933.63/3,294.81
  6. Step 6: Final answer
    x = 4,410.25

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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.