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Finding the Fourth Proportional to 5,843.65, 8,062.80 and 3,453.68

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Solution

The fourth proportional to 5,843.65, 8,062.80 and 3,453.68 is: 4,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.65 : 8,062.80 = 3,453.68 : x
  2. Step 2: Convert to fraction form
    5,843.65/8,062.80 = 3,453.68/x
  3. Step 3: Cross multiply
    5,843.65x = 8,062.80 × 3,453.68
  4. Step 4: Simplify right side
    5,843.65x = 27,846,331.10
  5. Step 5: Solve for x
    x = 27,846,331.10/5,843.65
  6. Step 6: Final answer
    x = 4,765.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.