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Finding the Fourth Proportional to 3,783.62, 5,213.60 and 3,732.59

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Solution

The fourth proportional to 3,783.62, 5,213.60 and 3,732.59 is: 5,143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.62 : 5,213.60 = 3,732.59 : x
  2. Step 2: Convert to fraction form
    3,783.62/5,213.60 = 3,732.59/x
  3. Step 3: Cross multiply
    3,783.62x = 5,213.60 × 3,732.59
  4. Step 4: Simplify right side
    3,783.62x = 19,460,239.59
  5. Step 5: Solve for x
    x = 19,460,239.59/3,783.62
  6. Step 6: Final answer
    x = 5,143.28

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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.