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Finding the Fourth Proportional to 3,322.70, 4,588.48 and 2,847.86

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Solution

The fourth proportional to 3,322.70, 4,588.48 and 2,847.86 is: 3,932.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,322.70 : 4,588.48 = 2,847.86 : x
  2. Step 2: Convert to fraction form
    3,322.70/4,588.48 = 2,847.86/x
  3. Step 3: Cross multiply
    3,322.70x = 4,588.48 × 2,847.86
  4. Step 4: Simplify right side
    3,322.70x = 13,067,348.65
  5. Step 5: Solve for x
    x = 13,067,348.65/3,322.70
  6. Step 6: Final answer
    x = 3,932.75

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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.