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Finding the Fourth Proportional to 4,513.71, 6,783.03 and 3,942.39

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Solution

The fourth proportional to 4,513.71, 6,783.03 and 3,942.39 is: 5,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.71 : 6,783.03 = 3,942.39 : x
  2. Step 2: Convert to fraction form
    4,513.71/6,783.03 = 3,942.39/x
  3. Step 3: Cross multiply
    4,513.71x = 6,783.03 × 3,942.39
  4. Step 4: Simplify right side
    4,513.71x = 26,741,349.64
  5. Step 5: Solve for x
    x = 26,741,349.64/4,513.71
  6. Step 6: Final answer
    x = 5,924.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.