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Finding the Fourth Proportional to 3,494.16, 5,239.43 and 1,028.66

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Solution

The fourth proportional to 3,494.16, 5,239.43 and 1,028.66 is: 1,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.16 : 5,239.43 = 1,028.66 : x
  2. Step 2: Convert to fraction form
    3,494.16/5,239.43 = 1,028.66/x
  3. Step 3: Cross multiply
    3,494.16x = 5,239.43 × 1,028.66
  4. Step 4: Simplify right side
    3,494.16x = 5,389,585.10
  5. Step 5: Solve for x
    x = 5,389,585.10/3,494.16
  6. Step 6: Final answer
    x = 1,542.45

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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.