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Finding the Fourth Proportional to 3,538.83, 4,883.69 and 1,945.54

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Solution

The fourth proportional to 3,538.83, 4,883.69 and 1,945.54 is: 2,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538.83 : 4,883.69 = 1,945.54 : x
  2. Step 2: Convert to fraction form
    3,538.83/4,883.69 = 1,945.54/x
  3. Step 3: Cross multiply
    3,538.83x = 4,883.69 × 1,945.54
  4. Step 4: Simplify right side
    3,538.83x = 9,501,424.25
  5. Step 5: Solve for x
    x = 9,501,424.25/3,538.83
  6. Step 6: Final answer
    x = 2,684.91

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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.