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Finding the Fourth Proportional to 4,617.82, 6,920.05 and 3,145.24

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Solution

The fourth proportional to 4,617.82, 6,920.05 and 3,145.24 is: 4,713.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.82 : 6,920.05 = 3,145.24 : x
  2. Step 2: Convert to fraction form
    4,617.82/6,920.05 = 3,145.24/x
  3. Step 3: Cross multiply
    4,617.82x = 6,920.05 × 3,145.24
  4. Step 4: Simplify right side
    4,617.82x = 21,765,218.06
  5. Step 5: Solve for x
    x = 21,765,218.06/4,617.82
  6. Step 6: Final answer
    x = 4,713.31

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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.