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Finding the Fourth Proportional to 5,258.28, 7,882.11 and 3,410.58

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Solution

The fourth proportional to 5,258.28, 7,882.11 and 3,410.58 is: 5,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258.28 : 7,882.11 = 3,410.58 : x
  2. Step 2: Convert to fraction form
    5,258.28/7,882.11 = 3,410.58/x
  3. Step 3: Cross multiply
    5,258.28x = 7,882.11 × 3,410.58
  4. Step 4: Simplify right side
    5,258.28x = 26,882,566.72
  5. Step 5: Solve for x
    x = 26,882,566.72/5,258.28
  6. Step 6: Final answer
    x = 5,112.43

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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.