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Finding the Fourth Proportional to 3,534.69, 5,297.46 and 1,452.34

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Solution

The fourth proportional to 3,534.69, 5,297.46 and 1,452.34 is: 2,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.69 : 5,297.46 = 1,452.34 : x
  2. Step 2: Convert to fraction form
    3,534.69/5,297.46 = 1,452.34/x
  3. Step 3: Cross multiply
    3,534.69x = 5,297.46 × 1,452.34
  4. Step 4: Simplify right side
    3,534.69x = 7,693,713.06
  5. Step 5: Solve for x
    x = 7,693,713.06/3,534.69
  6. Step 6: Final answer
    x = 2,176.63

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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.