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Finding the Fourth Proportional to 5,746.73, 7,930.89 and 3,509.81

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Solution

The fourth proportional to 5,746.73, 7,930.89 and 3,509.81 is: 4,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.73 : 7,930.89 = 3,509.81 : x
  2. Step 2: Convert to fraction form
    5,746.73/7,930.89 = 3,509.81/x
  3. Step 3: Cross multiply
    5,746.73x = 7,930.89 × 3,509.81
  4. Step 4: Simplify right side
    5,746.73x = 27,835,917.03
  5. Step 5: Solve for x
    x = 27,835,917.03/5,746.73
  6. Step 6: Final answer
    x = 4,843.78

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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.