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Finding the Fourth Proportional to 3,397.36, 5,096.32 and 1,449.60

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Solution

The fourth proportional to 3,397.36, 5,096.32 and 1,449.60 is: 2,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.36 : 5,096.32 = 1,449.60 : x
  2. Step 2: Convert to fraction form
    3,397.36/5,096.32 = 1,449.60/x
  3. Step 3: Cross multiply
    3,397.36x = 5,096.32 × 1,449.60
  4. Step 4: Simplify right side
    3,397.36x = 7,387,625.47
  5. Step 5: Solve for x
    x = 7,387,625.47/3,397.36
  6. Step 6: Final answer
    x = 2,174.52

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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.