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Finding the Fourth Proportional to 5,177.98, 7,768.73 and 2,258.20

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Solution

The fourth proportional to 5,177.98, 7,768.73 and 2,258.20 is: 3,388.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.98 : 7,768.73 = 2,258.20 : x
  2. Step 2: Convert to fraction form
    5,177.98/7,768.73 = 2,258.20/x
  3. Step 3: Cross multiply
    5,177.98x = 7,768.73 × 2,258.20
  4. Step 4: Simplify right side
    5,177.98x = 17,543,346.09
  5. Step 5: Solve for x
    x = 17,543,346.09/5,177.98
  6. Step 6: Final answer
    x = 3,388.07

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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.