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Finding the Fourth Proportional to 5,646.97, 7,792.23 and 3,289.06

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Solution

The fourth proportional to 5,646.97, 7,792.23 and 3,289.06 is: 4,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.97 : 7,792.23 = 3,289.06 : x
  2. Step 2: Convert to fraction form
    5,646.97/7,792.23 = 3,289.06/x
  3. Step 3: Cross multiply
    5,646.97x = 7,792.23 × 3,289.06
  4. Step 4: Simplify right side
    5,646.97x = 25,629,112.00
  5. Step 5: Solve for x
    x = 25,629,112.00/5,646.97
  6. Step 6: Final answer
    x = 4,538.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.