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Finding the Fourth Proportional to 3,494.34, 5,239.72 and 1,028.84

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Solution

The fourth proportional to 3,494.34, 5,239.72 and 1,028.84 is: 1,542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.34 : 5,239.72 = 1,028.84 : x
  2. Step 2: Convert to fraction form
    3,494.34/5,239.72 = 1,028.84/x
  3. Step 3: Cross multiply
    3,494.34x = 5,239.72 × 1,028.84
  4. Step 4: Simplify right side
    3,494.34x = 5,390,845.13
  5. Step 5: Solve for x
    x = 5,390,845.13/3,494.34
  6. Step 6: Final answer
    x = 1,542.73

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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.