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Finding the Fourth Proportional to 3,892.88, 5,839.26 and 1,260.45

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Solution

The fourth proportional to 3,892.88, 5,839.26 and 1,260.45 is: 1,890.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.88 : 5,839.26 = 1,260.45 : x
  2. Step 2: Convert to fraction form
    3,892.88/5,839.26 = 1,260.45/x
  3. Step 3: Cross multiply
    3,892.88x = 5,839.26 × 1,260.45
  4. Step 4: Simplify right side
    3,892.88x = 7,360,095.27
  5. Step 5: Solve for x
    x = 7,360,095.27/3,892.88
  6. Step 6: Final answer
    x = 1,890.66

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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.