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Finding the Fourth Proportional to 5,286.10, 7,932.99 and 4,258.51

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Solution

The fourth proportional to 5,286.10, 7,932.99 and 4,258.51 is: 6,390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.10 : 7,932.99 = 4,258.51 : x
  2. Step 2: Convert to fraction form
    5,286.10/7,932.99 = 4,258.51/x
  3. Step 3: Cross multiply
    5,286.10x = 7,932.99 × 4,258.51
  4. Step 4: Simplify right side
    5,286.10x = 33,782,677.58
  5. Step 5: Solve for x
    x = 33,782,677.58/5,286.10
  6. Step 6: Final answer
    x = 6,390.86

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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.