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Finding the Fourth Proportional to 4,952.97, 7,422.56 and 2,317.64

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Solution

The fourth proportional to 4,952.97, 7,422.56 and 2,317.64 is: 3,473.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.97 : 7,422.56 = 2,317.64 : x
  2. Step 2: Convert to fraction form
    4,952.97/7,422.56 = 2,317.64/x
  3. Step 3: Cross multiply
    4,952.97x = 7,422.56 × 2,317.64
  4. Step 4: Simplify right side
    4,952.97x = 17,202,790.64
  5. Step 5: Solve for x
    x = 17,202,790.64/4,952.97
  6. Step 6: Final answer
    x = 3,473.23

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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.