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Finding the Fourth Proportional to 4,782.06, 7,164.69 and 3,322.14

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Solution

The fourth proportional to 4,782.06, 7,164.69 and 3,322.14 is: 4,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,782.06 : 7,164.69 = 3,322.14 : x
  2. Step 2: Convert to fraction form
    4,782.06/7,164.69 = 3,322.14/x
  3. Step 3: Cross multiply
    4,782.06x = 7,164.69 × 3,322.14
  4. Step 4: Simplify right side
    4,782.06x = 23,802,103.24
  5. Step 5: Solve for x
    x = 23,802,103.24/4,782.06
  6. Step 6: Final answer
    x = 4,977.37

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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.