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Finding the Fourth Proportional to 3,892.79, 5,839.26 and 971.11

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Solution

The fourth proportional to 3,892.79, 5,839.26 and 971.11 is: 1,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.79 : 5,839.26 = 971.11 : x
  2. Step 2: Convert to fraction form
    3,892.79/5,839.26 = 971.11/x
  3. Step 3: Cross multiply
    3,892.79x = 5,839.26 × 971.11
  4. Step 4: Simplify right side
    3,892.79x = 5,670,534.59
  5. Step 5: Solve for x
    x = 5,670,534.59/3,892.79
  6. Step 6: Final answer
    x = 1,456.68

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