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Finding the Fourth Proportional to 5,128.93, 7,694.43 and 1,842.28

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Solution

The fourth proportional to 5,128.93, 7,694.43 and 1,842.28 is: 2,763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,128.93 : 7,694.43 = 1,842.28 : x
  2. Step 2: Convert to fraction form
    5,128.93/7,694.43 = 1,842.28/x
  3. Step 3: Cross multiply
    5,128.93x = 7,694.43 × 1,842.28
  4. Step 4: Simplify right side
    5,128.93x = 14,175,285.29
  5. Step 5: Solve for x
    x = 14,175,285.29/5,128.93
  6. Step 6: Final answer
    x = 2,763.79

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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.