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Finding the Fourth Proportional to 3,820.40, 5,272.64 and 2,248.64

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Solution

The fourth proportional to 3,820.40, 5,272.64 and 2,248.64 is: 3,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.40 : 5,272.64 = 2,248.64 : x
  2. Step 2: Convert to fraction form
    3,820.40/5,272.64 = 2,248.64/x
  3. Step 3: Cross multiply
    3,820.40x = 5,272.64 × 2,248.64
  4. Step 4: Simplify right side
    3,820.40x = 11,856,269.21
  5. Step 5: Solve for x
    x = 11,856,269.21/3,820.40
  6. Step 6: Final answer
    x = 3,103.41

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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.