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Finding the Fourth Proportional to 5,639.70, 7,781.46 and 3,280.44

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Solution

The fourth proportional to 5,639.70, 7,781.46 and 3,280.44 is: 4,526.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.70 : 7,781.46 = 3,280.44 : x
  2. Step 2: Convert to fraction form
    5,639.70/7,781.46 = 3,280.44/x
  3. Step 3: Cross multiply
    5,639.70x = 7,781.46 × 3,280.44
  4. Step 4: Simplify right side
    5,639.70x = 25,526,612.64
  5. Step 5: Solve for x
    x = 25,526,612.64/5,639.70
  6. Step 6: Final answer
    x = 4,526.24

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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.