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Finding the Fourth Proportional to 3,823.52, 5,276.21 and 2,332.22

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Solution

The fourth proportional to 3,823.52, 5,276.21 and 2,332.22 is: 3,218.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.52 : 5,276.21 = 2,332.22 : x
  2. Step 2: Convert to fraction form
    3,823.52/5,276.21 = 2,332.22/x
  3. Step 3: Cross multiply
    3,823.52x = 5,276.21 × 2,332.22
  4. Step 4: Simplify right side
    3,823.52x = 12,305,282.49
  5. Step 5: Solve for x
    x = 12,305,282.49/3,823.52
  6. Step 6: Final answer
    x = 3,218.31

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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.