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Finding the Fourth Proportional to 5,178.89, 7,768.33 and 1,283.29

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Solution

The fourth proportional to 5,178.89, 7,768.33 and 1,283.29 is: 1,924.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.89 : 7,768.33 = 1,283.29 : x
  2. Step 2: Convert to fraction form
    5,178.89/7,768.33 = 1,283.29/x
  3. Step 3: Cross multiply
    5,178.89x = 7,768.33 × 1,283.29
  4. Step 4: Simplify right side
    5,178.89x = 9,969,039.47
  5. Step 5: Solve for x
    x = 9,969,039.47/5,178.89
  6. Step 6: Final answer
    x = 1,924.94

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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.