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Finding the Fourth Proportional to 3,452.84, 5,175.56 and 1,369.96

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Solution

The fourth proportional to 3,452.84, 5,175.56 and 1,369.96 is: 2,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.84 : 5,175.56 = 1,369.96 : x
  2. Step 2: Convert to fraction form
    3,452.84/5,175.56 = 1,369.96/x
  3. Step 3: Cross multiply
    3,452.84x = 5,175.56 × 1,369.96
  4. Step 4: Simplify right side
    3,452.84x = 7,090,300.66
  5. Step 5: Solve for x
    x = 7,090,300.66/3,452.84
  6. Step 6: Final answer
    x = 2,053.47

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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.