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Finding the Fourth Proportional to 3,822.52, 5,275.92 and 2,425

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Solution

The fourth proportional to 3,822.52, 5,275.92 and 2,425 is: 3,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.52 : 5,275.92 = 2,425 : x
  2. Step 2: Convert to fraction form
    3,822.52/5,275.92 = 2,425/x
  3. Step 3: Cross multiply
    3,822.52x = 5,275.92 × 2,425
  4. Step 4: Simplify right side
    3,822.52x = 12,794,106
  5. Step 5: Solve for x
    x = 12,794,106/3,822.52
  6. Step 6: Final answer
    x = 3,347.03

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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.