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Finding the Fourth Proportional to 3,542.30, 4,883.30 and 2,362.94

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Solution

The fourth proportional to 3,542.30, 4,883.30 and 2,362.94 is: 3,257.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.30 : 4,883.30 = 2,362.94 : x
  2. Step 2: Convert to fraction form
    3,542.30/4,883.30 = 2,362.94/x
  3. Step 3: Cross multiply
    3,542.30x = 4,883.30 × 2,362.94
  4. Step 4: Simplify right side
    3,542.30x = 11,538,944.90
  5. Step 5: Solve for x
    x = 11,538,944.90/3,542.30
  6. Step 6: Final answer
    x = 3,257.47

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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.