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Finding the Fourth Proportional to 5,163.14, 7,744.31 and 1,653.51

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Solution

The fourth proportional to 5,163.14, 7,744.31 and 1,653.51 is: 2,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.14 : 7,744.31 = 1,653.51 : x
  2. Step 2: Convert to fraction form
    5,163.14/7,744.31 = 1,653.51/x
  3. Step 3: Cross multiply
    5,163.14x = 7,744.31 × 1,653.51
  4. Step 4: Simplify right side
    5,163.14x = 12,805,334.46
  5. Step 5: Solve for x
    x = 12,805,334.46/5,163.14
  6. Step 6: Final answer
    x = 2,480.14

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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.