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Finding the Fourth Proportional to 3,260.01, 4,889.97 and 794.84

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Solution

The fourth proportional to 3,260.01, 4,889.97 and 794.84 is: 1,192.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.01 : 4,889.97 = 794.84 : x
  2. Step 2: Convert to fraction form
    3,260.01/4,889.97 = 794.84/x
  3. Step 3: Cross multiply
    3,260.01x = 4,889.97 × 794.84
  4. Step 4: Simplify right side
    3,260.01x = 3,886,743.75
  5. Step 5: Solve for x
    x = 3,886,743.75/3,260.01
  6. Step 6: Final answer
    x = 1,192.25

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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.