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Finding the Fourth Proportional to 2,820.21, 3,892.98 and 2,524.97

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Solution

The fourth proportional to 2,820.21, 3,892.98 and 2,524.97 is: 3,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.21 : 3,892.98 = 2,524.97 : x
  2. Step 2: Convert to fraction form
    2,820.21/3,892.98 = 2,524.97/x
  3. Step 3: Cross multiply
    2,820.21x = 3,892.98 × 2,524.97
  4. Step 4: Simplify right side
    2,820.21x = 9,829,638.25
  5. Step 5: Solve for x
    x = 9,829,638.25/2,820.21
  6. Step 6: Final answer
    x = 3,485.43

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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.