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Finding the Fourth Proportional to 5,258.37, 7,899 and 3,179.35

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Solution

The fourth proportional to 5,258.37, 7,899 and 3,179.35 is: 4,775.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.37 : 7,899 = 3,179.35 : x
  2. Step 2: Convert to fraction form
    5,258.37/7,899 = 3,179.35/x
  3. Step 3: Cross multiply
    5,258.37x = 7,899 × 3,179.35
  4. Step 4: Simplify right side
    5,258.37x = 25,113,685.65
  5. Step 5: Solve for x
    x = 25,113,685.65/5,258.37
  6. Step 6: Final answer
    x = 4,775.94

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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.