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Finding the Fourth Proportional to 3,949.69, 5,924.88 and 1,028.00

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Solution

The fourth proportional to 3,949.69, 5,924.88 and 1,028.00 is: 1,542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.69 : 5,924.88 = 1,028.00 : x
  2. Step 2: Convert to fraction form
    3,949.69/5,924.88 = 1,028.00/x
  3. Step 3: Cross multiply
    3,949.69x = 5,924.88 × 1,028.00
  4. Step 4: Simplify right side
    3,949.69x = 6,090,743.16
  5. Step 5: Solve for x
    x = 6,090,743.16/3,949.69
  6. Step 6: Final answer
    x = 1,542.08

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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.