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Finding the Fourth Proportional to 5,600.73, 7,729.76 and 3,617.06

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Solution

The fourth proportional to 5,600.73, 7,729.76 and 3,617.06 is: 4,992.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.73 : 7,729.76 = 3,617.06 : x
  2. Step 2: Convert to fraction form
    5,600.73/7,729.76 = 3,617.06/x
  3. Step 3: Cross multiply
    5,600.73x = 7,729.76 × 3,617.06
  4. Step 4: Simplify right side
    5,600.73x = 27,959,005.71
  5. Step 5: Solve for x
    x = 27,959,005.71/5,600.73
  6. Step 6: Final answer
    x = 4,992.03

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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.