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Finding the Fourth Proportional to 5,260.58, 7,891.07 and 1,364.88

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Solution

The fourth proportional to 5,260.58, 7,891.07 and 1,364.88 is: 2,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.58 : 7,891.07 = 1,364.88 : x
  2. Step 2: Convert to fraction form
    5,260.58/7,891.07 = 1,364.88/x
  3. Step 3: Cross multiply
    5,260.58x = 7,891.07 × 1,364.88
  4. Step 4: Simplify right side
    5,260.58x = 10,770,356.80
  5. Step 5: Solve for x
    x = 10,770,356.80/5,260.58
  6. Step 6: Final answer
    x = 2,047.37

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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.