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Finding the Fourth Proportional to 5,178.44, 7,767.52 and 1,282.88

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Solution

The fourth proportional to 5,178.44, 7,767.52 and 1,282.88 is: 1,924.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.44 : 7,767.52 = 1,282.88 : x
  2. Step 2: Convert to fraction form
    5,178.44/7,767.52 = 1,282.88/x
  3. Step 3: Cross multiply
    5,178.44x = 7,767.52 × 1,282.88
  4. Step 4: Simplify right side
    5,178.44x = 9,964,796.06
  5. Step 5: Solve for x
    x = 9,964,796.06/5,178.44
  6. Step 6: Final answer
    x = 1,924.29

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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.