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Finding the Fourth Proportional to 3,493.83, 5,239.17 and 1,028.07

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Solution

The fourth proportional to 3,493.83, 5,239.17 and 1,028.07 is: 1,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.83 : 5,239.17 = 1,028.07 : x
  2. Step 2: Convert to fraction form
    3,493.83/5,239.17 = 1,028.07/x
  3. Step 3: Cross multiply
    3,493.83x = 5,239.17 × 1,028.07
  4. Step 4: Simplify right side
    3,493.83x = 5,386,233.50
  5. Step 5: Solve for x
    x = 5,386,233.50/3,493.83
  6. Step 6: Final answer
    x = 1,541.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.