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Finding the Fourth Proportional to 3,537.94, 4,883.06 and 2,046.33

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Solution

The fourth proportional to 3,537.94, 4,883.06 and 2,046.33 is: 2,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.94 : 4,883.06 = 2,046.33 : x
  2. Step 2: Convert to fraction form
    3,537.94/4,883.06 = 2,046.33/x
  3. Step 3: Cross multiply
    3,537.94x = 4,883.06 × 2,046.33
  4. Step 4: Simplify right side
    3,537.94x = 9,992,341.94
  5. Step 5: Solve for x
    x = 9,992,341.94/3,537.94
  6. Step 6: Final answer
    x = 2,824.34

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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.