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Finding the Fourth Proportional to 5,639.80, 7,781.04 and 3,281.44

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Solution

The fourth proportional to 5,639.80, 7,781.04 and 3,281.44 is: 4,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.80 : 7,781.04 = 3,281.44 : x
  2. Step 2: Convert to fraction form
    5,639.80/7,781.04 = 3,281.44/x
  3. Step 3: Cross multiply
    5,639.80x = 7,781.04 × 3,281.44
  4. Step 4: Simplify right side
    5,639.80x = 25,533,015.90
  5. Step 5: Solve for x
    x = 25,533,015.90/5,639.80
  6. Step 6: Final answer
    x = 4,527.29

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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.