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Finding the Fourth Proportional to 3,380.40, 5,070.96 and 2,648.64

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Solution

The fourth proportional to 3,380.40, 5,070.96 and 2,648.64 is: 3,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.40 : 5,070.96 = 2,648.64 : x
  2. Step 2: Convert to fraction form
    3,380.40/5,070.96 = 2,648.64/x
  3. Step 3: Cross multiply
    3,380.40x = 5,070.96 × 2,648.64
  4. Step 4: Simplify right side
    3,380.40x = 13,431,147.49
  5. Step 5: Solve for x
    x = 13,431,147.49/3,380.40
  6. Step 6: Final answer
    x = 3,973.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.