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Finding the Fourth Proportional to 3,893.54, 5,842.71 and 2,045.97

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Solution

The fourth proportional to 3,893.54, 5,842.71 and 2,045.97 is: 3,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.54 : 5,842.71 = 2,045.97 : x
  2. Step 2: Convert to fraction form
    3,893.54/5,842.71 = 2,045.97/x
  3. Step 3: Cross multiply
    3,893.54x = 5,842.71 × 2,045.97
  4. Step 4: Simplify right side
    3,893.54x = 11,954,009.38
  5. Step 5: Solve for x
    x = 11,954,009.38/3,893.54
  6. Step 6: Final answer
    x = 3,070.22

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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.