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Finding the Fourth Proportional to 5,178.70, 7,768.05 and 1,283.11

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Solution

The fourth proportional to 5,178.70, 7,768.05 and 1,283.11 is: 1,924.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.70 : 7,768.05 = 1,283.11 : x
  2. Step 2: Convert to fraction form
    5,178.70/7,768.05 = 1,283.11/x
  3. Step 3: Cross multiply
    5,178.70x = 7,768.05 × 1,283.11
  4. Step 4: Simplify right side
    5,178.70x = 9,967,217.38
  5. Step 5: Solve for x
    x = 9,967,217.38/5,178.70
  6. Step 6: Final answer
    x = 1,924.66

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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.