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Finding the Fourth Proportional to 3,382.74, 4,668.75 and 2,822.31

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Solution

The fourth proportional to 3,382.74, 4,668.75 and 2,822.31 is: 3,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.74 : 4,668.75 = 2,822.31 : x
  2. Step 2: Convert to fraction form
    3,382.74/4,668.75 = 2,822.31/x
  3. Step 3: Cross multiply
    3,382.74x = 4,668.75 × 2,822.31
  4. Step 4: Simplify right side
    3,382.74x = 13,176,659.81
  5. Step 5: Solve for x
    x = 13,176,659.81/3,382.74
  6. Step 6: Final answer
    x = 3,895.26

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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.