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Finding the Fourth Proportional to 4,852.81, 7,279.37 and 3,797.65

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Solution

The fourth proportional to 4,852.81, 7,279.37 and 3,797.65 is: 5,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.81 : 7,279.37 = 3,797.65 : x
  2. Step 2: Convert to fraction form
    4,852.81/7,279.37 = 3,797.65/x
  3. Step 3: Cross multiply
    4,852.81x = 7,279.37 × 3,797.65
  4. Step 4: Simplify right side
    4,852.81x = 27,644,499.48
  5. Step 5: Solve for x
    x = 27,644,499.48/4,852.81
  6. Step 6: Final answer
    x = 5,696.60

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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.