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Finding the Fourth Proportional to 5,178.09, 7,768.41 and 1,480.35

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Solution

The fourth proportional to 5,178.09, 7,768.41 and 1,480.35 is: 2,220.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.09 : 7,768.41 = 1,480.35 : x
  2. Step 2: Convert to fraction form
    5,178.09/7,768.41 = 1,480.35/x
  3. Step 3: Cross multiply
    5,178.09x = 7,768.41 × 1,480.35
  4. Step 4: Simplify right side
    5,178.09x = 11,499,965.74
  5. Step 5: Solve for x
    x = 11,499,965.74/5,178.09
  6. Step 6: Final answer
    x = 2,220.89

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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.