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Finding the Fourth Proportional to 5,141.97, 7,709.71 and 4,362.25

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Solution

The fourth proportional to 5,141.97, 7,709.71 and 4,362.25 is: 6,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.97 : 7,709.71 = 4,362.25 : x
  2. Step 2: Convert to fraction form
    5,141.97/7,709.71 = 4,362.25/x
  3. Step 3: Cross multiply
    5,141.97x = 7,709.71 × 4,362.25
  4. Step 4: Simplify right side
    5,141.97x = 33,631,682.45
  5. Step 5: Solve for x
    x = 33,631,682.45/5,141.97
  6. Step 6: Final answer
    x = 6,540.62

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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.