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Finding the Fourth Proportional to 2,820.64, 3,893.28 and 2,553.44

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Solution

The fourth proportional to 2,820.64, 3,893.28 and 2,553.44 is: 3,524.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,820.64 : 3,893.28 = 2,553.44 : x
  2. Step 2: Convert to fraction form
    2,820.64/3,893.28 = 2,553.44/x
  3. Step 3: Cross multiply
    2,820.64x = 3,893.28 × 2,553.44
  4. Step 4: Simplify right side
    2,820.64x = 9,941,256.88
  5. Step 5: Solve for x
    x = 9,941,256.88/2,820.64
  6. Step 6: Final answer
    x = 3,524.47

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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.