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Finding the Fourth Proportional to 5,290.25, 7,935.83 and 1,394.67

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Solution

The fourth proportional to 5,290.25, 7,935.83 and 1,394.67 is: 2,092.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.25 : 7,935.83 = 1,394.67 : x
  2. Step 2: Convert to fraction form
    5,290.25/7,935.83 = 1,394.67/x
  3. Step 3: Cross multiply
    5,290.25x = 7,935.83 × 1,394.67
  4. Step 4: Simplify right side
    5,290.25x = 11,067,864.03
  5. Step 5: Solve for x
    x = 11,067,864.03/5,290.25
  6. Step 6: Final answer
    x = 2,092.12

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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.