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Finding the Fourth Proportional to 3,893.67, 5,839.29 and 1,296

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Solution

The fourth proportional to 3,893.67, 5,839.29 and 1,296 is: 1,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.67 : 5,839.29 = 1,296 : x
  2. Step 2: Convert to fraction form
    3,893.67/5,839.29 = 1,296/x
  3. Step 3: Cross multiply
    3,893.67x = 5,839.29 × 1,296
  4. Step 4: Simplify right side
    3,893.67x = 7,567,719.84
  5. Step 5: Solve for x
    x = 7,567,719.84/3,893.67
  6. Step 6: Final answer
    x = 1,943.60

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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.