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Finding the Fourth Proportional to 5,178.36, 7,768.76 and 1,480.49

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Solution

The fourth proportional to 5,178.36, 7,768.76 and 1,480.49 is: 2,221.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.36 : 7,768.76 = 1,480.49 : x
  2. Step 2: Convert to fraction form
    5,178.36/7,768.76 = 1,480.49/x
  3. Step 3: Cross multiply
    5,178.36x = 7,768.76 × 1,480.49
  4. Step 4: Simplify right side
    5,178.36x = 11,501,594.62
  5. Step 5: Solve for x
    x = 11,501,594.62/5,178.36
  6. Step 6: Final answer
    x = 2,221.09

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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.